anchor stringlengths 50 3.92k | positive stringlengths 55 6.16k |
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On the all-order epsilon-expansion of generalized hypergeometric
functions with integer values of parameters: We continue our study of the construction of analytical coefficients of the
epsilon-expansion of hypergeometric functions and their connection with Feynman
diagrams. In this paper, we apply the approach of ob... | Non-analyticity in Holographic Complexity near Critical points: The region near a critical point is studied using holographic models of
second-order phase transitions. In a previous paper, we argued that the quantum
circuit complexity of the vacuum ($C_0$) is the largest at the critical point.
When deforming away from ... |
Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and
Gravity: Theories with spontaneous local Lorentz and diffeomorphism violation contain
massless Nambu-Goldstone modes, which arise as field excitations in the minimum
of the symmetry-breaking potential. If the shape of the potential also allows
excit... | A Twisted Kink Crystal in the Chiral Gross-Neveu model: We present the detailed properties of a self-consistent crystalline chiral
condensate in the massless chiral Gross-Neveu model. We show that a suitable
ansatz for the Gorkov resolvent reduces the functional gap equation, for the
inhomogeneous condensate, to a nonl... |
Reply to "Comment on 'Noncommutative gauge theories and Lorentz
symmetry'": This is a reply to "Comment on 'Noncommutative gauge theories and Lorentz
symmetry,'" Phys. Rev. D 77 (2008) 048701 by Alfredo Iorio. | A note on fermions in holographic QCD: We study the fermionic sector of a probe D8-brane in the supergravity
background made of D4-branes compactified on a circle with supersymmetry broken
explicitly by the boundary conditions. At low energies the dual field theory is
effectively four-dimensional and has proved surpris... |
Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and
7-strand braids: Basing on evaluation of the Racah coefficients for SU_q(3) (which supported
the earlier conjecture of their universal form) we derive explicit formulas for
all the 5-, 6- and 7-strand Wilson averages in the fundamental representati... | Reheating and dangerous relics in pre-big bang string cosmology: We discuss the mechanism of reheating in pre-big bang string cosmology and we
calculate the amount of moduli and gravitinos produced gravitationally and in
scattering processes of the thermal bath. We find that this abundance always
exceeds the limits imp... |
Perturbative and Nonperturbative Studies of CFTs with MN Global Symmetry: Fixed points in three dimensions described by conformal field theories with
$MN_{m,n}= O(m)^n\rtimes S_n$ global symmetry have extensive applications in
critical phenomena. Associated experimental data for $m=n=2$ suggest the
existence of two non... | D-instanton probes of N=2 non-conformal geometries: D-instanton calculus has proved to be able to probe the AdS near horizon
geometry for $N$ D-branes systems which, when decoupled from gravity, yield
four dimensional superconformal gauge theories with various matter content. In
this work we extend previous analysis to... |
Holographic MQCD: We study a brane configuration of D4-branes and NS5-branes in weakly coupled
type IIA string theory, which describes in a particular limit d=4 N=1 SU(N+p)
supersymmetric QCD with 2N flavors and a quartic superpotential. We describe
the geometric realization of the supersymmetric vacuum structure of th... | Counting Tensor Model Observables and Branched Covers of the 2-Sphere: Lattice gauge theories of permutation groups with a simple topological action
(henceforth permutation-TFTs) have recently found several applications in the
combinatorics of quantum field theories (QFTs). They have been used to solve
counting problem... |
Dimensional Reduction, Hard Thermal Loops and the Renormalization Group: We study the realization of dimensional reduction and the validity of the
hard thermal loop expansion for lambda phi^4 theory at finite temperature,
using an environmentally friendly finite-temperature renormalization group with
a fiducial tempera... | Magnetic-Dipole Spin Effects in Noncommutative Quantum Mechanics: A general three-dimensional noncommutative quantum mechanical system mixing
spatial and spin degrees of freedom is proposed. The analogous of the harmonic
oscillator in this description contains a magnetic dipole interaction and the
ground state is expli... |
Vacuum stress-tensor in SSB theories: The renormalized energy-momentum tensor of vacuum has been deeply explored
many years ago. The main result of these studies was that such a tensor should
satisfy the conservation laws which reflects the covariance of the theory in
the presence of loop corrections. In view of this g... | Exact Operator Quantization of the Euclidean Black Hole CFT: We present an exact operator quantization of the Euclidean Black Hole CFT
using a recently established free field parametrization of the fundamental
fields of the classical theory [4,5,6,7]. Quantizing the map to free fields, we
show that the resulting quantu... |
BPS Correlators for $\text{AdS}_3/\text{CFT}_2$: The BPS correlators of the symmetric product orbifold
$\text{Sym}_N(\mathbb{T}^4)$ are reproduced from the dual worldsheet theory
describing strings on $\text{AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with
minimal ($k=1$) NS-NS flux. More specifically, we show that the ... | A New Class of Ghost and Tachyon Free Metric Affine Gravities: We construct the spin-projection operators for a theory containing a
symmetric two-index tensor and a general three-index tensor. We then use them
to analyse, at linearized level, the most general action for a metric-affine
theory of gravity with terms up t... |
Duality group actions on fermions: In this short paper we look at the action of T-duality and string duality
groups on fermions, in maximally-supersymmetric theories and related theories.
Briefly, we argue that typical duality groups such as SL(2,Z) have sign
ambiguities in their actions on fermions, and propose that p... | Poincaré Series, 3d Gravity and Averages of Rational CFT: We investigate the Poincar\'e approach to computing 3d gravity partition
functions dual to Rational CFT. For a single genus-1 boundary, we show that for
certain infinite sets of levels, the SU(2)$_k$ WZW models provide unitary
examples for which the Poincare ser... |
Hawking Radiation in the Dilaton Gravity with a Non-Minimally Coupled
Scalar Field: We discuss the two-dimensional dilaton gravity with a scalar field as the
source matter where the coupling with the gravity is given, besides the minimal
one, through an external field. This coupling generalizes the conformal anomaly
... | Chern-Simons Supersymmetric Branes: In this paper we continue the study of the model proposed in the previous
paper hep-th/0002077. The model consist of a system of extended objects of
diverse dimensionalities, with or without boundaries, with actions of the
Chern-Simons form for a supergroup. We also discuss possible ... |
Supersymmetric Non-abelian DBI Equations from Open Pure Spinor
Superstring: The BRST invariance of the open pure spinor superstring is examined in the
presence of background superfields on a Dp-brane. We note that the background
superfields introduced in this paper depend on boundary fermions. The BRST
invariance lea... | Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in
2+1 Quantum Gravity: We show that the $\star$-product for $U(su_2)$, group Fourier transform and
effective action arising in [1] in an effective theory for the integer spin
Ponzano-Regge quantum gravity model are compatible with the noncommutative... |
Holographic thermalization in N=4 Super Yang-Mills theory at finite
coupling: We investigate the behavior of energy momentum tensor correlators in
holographic $\mathcal{N}=4$ super Yang-Mills plasma, taking finite coupling
corrections into account. In the thermal limit we determine the flow of
quasinormal modes as a ... | Solitons on tori and soliton crystals: Necessary conditions for a soliton on a torus $M=\R^m/\Lambda$ to be a
soliton crystal, that is, a spatially periodic array of topological solitons in
stable equilibrium, are derived. The stress tensor of the soliton must be $L^2$
orthogonal to $\ee$, the space of parallel symmetr... |
Comments on Chiral p-Forms: Two issues regarding chiral $p$-forms are addressed. First, we investigate
the topological conditions on spacetime under which the action for a non-chiral
$p$-form can be split as the sum of the actions for two chiral $p$-forms, one
of each chirality. When these conditions are not met, we ex... | A Systematic Approach to Kähler Moduli Stabilisation: Achieving full moduli stabilisation in type IIB string compactifications for
generic Calabi-Yau threefolds with hundreds of K\"ahler moduli is notoriously
hard. This is due not just to the very fast increase of the computational
complexity with the number of moduli,... |
Stability of AdS in Einstein Gauss Bonnet Gravity: Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime
is unstable against the formation of black holes for a large class of
arbitrarily small perturbations. We examine the effects of including a
Gauss-Bonnet term. In five dimensions, spherically... | Large Gauge Transformations in Double Field Theory: Finite gauge transformations in double field theory can be defined by the
exponential of generalized Lie derivatives. We interpret these transformations
as `generalized coordinate transformations' in the doubled space by proposing
and testing a formula that writes lar... |
Correlators of Hopf Wilson loops in the AdS/CFT correspondence: We study at quantum level correlators of supersymmetric Wilson loops with
contours lying on Hopf fibers of $S^3$. In $\mathcal{N}=4$ SYM theory the
strong coupling analysis can be performed using the AdS/CFT correspondence and
a connected classical string ... | Classical Black Hole Production In Quantum Particle Collisions: The semiclassical picture of black hole production in trans-Planckian
elementary particle collisions is reviewed. |
MORE ON THE LINEARIZATION OF $W$-ALGEBRAS: We show that a wide class of $W$-(super)algebras, including $W_N^{(N-1)}$,
$U(N)$-superconformal as well as $W_N$ nonlinear algebras, can be linearized by
embedding them as subalgebras into some {\em linear} (super)conformal algebras
with finite sets of currents. The general c... | Relaxing the Parity Conditions of Asymptotically Flat Gravity: Four-dimensional asymptotically flat spacetimes at spatial infinity are
defined from first principles without imposing parity conditions or
restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a
correct variational principle when it i... |
Wronskian Indices and Rational Conformal Field Theories: The classification scheme for rational conformal field theories, given by the
Mathur-Mukhi-Sen (MMS) program, identifies a rational conformal field theory by
two numbers: $(n, l)$. $n$ is the number of characters of the rational
conformal field theory. The charac... | Magnetohydrodynamics in Presence of Electric and Magnetic charges: Starting with the generalized electromagnetic field equations of dyons, we
have discussed the theory of magnetohydrodynamics (MHD) of plasma for particles
carrying simultaneously the electric and magnetic charges (namely dyons). It is
shown that the res... |
First Law of Thermodynamics and Friedmann Equations of
Friedmann-Robertson-Walker Universe: Applying the first law of thermodynamics to the apparent horizon of a
Friedmann-Robertson-Walker universe and assuming the geometric entropy given by
a quarter of the apparent horizon area, we derive the Friedmann equations
de... | On small tension p-branes: This paper deals with p-branes with small but non-zero tension. We prove the
existence of canonical transformations, within a perturbation theory, that link
specific geometries of p-branes to solvable theories, namely string-like and
particle-like theories. The specific shapes correspond to s... |
Geometric cross sections of rotating strings and black holes: We study the production cross section of a highly excited string with fixed
angular momentum from an ultra-high energy collision of two light strings. We
find that the cross section exhibits geometric behavior in a certain region of
angular-momentum/impact-p... | NSR measures on hyperelliptic locus and non-renormalization of
1,2,3-point functions: We demonstrate (under a modest assumption) that the sums over spin-structures
of the simplest combinations of fermionic correlators (Szego kernels) and
DHP/CDG/Grushevsky NSR measures vanish at least on the hyperelliptic loci in
the... |
Smirnov-type integral formulae for correlation functions of the
bulk/boundary XXZ model in the anti-ferromagnetic regime: Presented are the integral solutions to the quantum Knizhnik-Zamolodchikov
equations for the correlation functions of both the bulk and boundary XXZ
models in the anti-ferromagnetic regime. The di... | Conformal quantum mechanics and Fick-Jacobs equation: It is found a relation between conformal quantum mechanics and Fick-Jacobs
equation, which describes diffusion in channels. This relation is given between
a family of channels and a family of conformal Hamiltonians. In addition, it is
shown that a conformal Hamilton... |
Nonperturbative Renormalon Structure of Infrared Unstable Theories: The properties of a generalized version of the Borel Transform in infrared
unstable theories with dynamical mass generation are studied. The
reconstruction of the nonperturbative structure is unambiguous in this version.
Various methods for extracting ... | On Heterotic/Type I Duality in d=8: We discuss heterotic corrections to quartic internal U(1) gauge couplings and
check duality by calculating one-loop open string diagrams and identifying the
D-instanton sum in the dual type I picture. We also compute SO(8)^4 threshold
corrections and finally R^2 corrections in type I... |
Wald entropy in Kaluza-Klein black holes: We study the thermodynamics of the 4-dimensional electrically charged
black-hole solutions of the simplest 5-dimensional Kaluza-Klein theory using
Wald's formalism. We show how the electric work term present in the
4-dimensional first law of black-hole thermodynamics arises in ... | Modified Spectral Boundary conditions in the Bag Model: We propose a reduced form of Atiah-Patodi-Singer spectral boundary conditions
for odd ($d$) dimensional spatial bag evolving in even ($d+1$) dimensional
space-time. The modified boundary conditions are manifestly chirally invariant
and do not depend on time. This ... |
One-Loop Effective Action on the Four-Ball: This paper applies $\zeta$-function regularization to evaluate the 1-loop
effective action for scalar field theories and Euclidean Maxwell theory in the
presence of boundaries. After a comparison of two techniques developed in the
recent literature, vacuum Maxwell theory is s... | D-branes in B Fields: The RR Page charges for the D2-, D4-, D6-brane in B fields are constructed
explicitly from the equations of motion and the nonvanishing (modified) Bianchi
identities by exploiting their properties --- conserved and localized. It is
found that the RR Page charges are independent of the backgound B ... |
Para-Grassmann Variables and Coherent States: The definitions of para-Grassmann variables and q-oscillator algebras are
recalled. Some new properties are given. We then introduce appropriate coherent
states as well as their dual states. This allows us to obtain a formula for the
trace of a operator expressed as a funct... | On the crossing relation in the presence of defects: The OPE of local operators in the presence of defect lines is considered both
in the rational CFT and the $c>25$ Virasoro (Liouville) theory. The duality
transformation of the 4-point function with inserted defect operators is
explicitly computed. The two channels of... |
The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1): The problem of finding a holographic CFT dual to string theory on
AdS(3)xS(3)xS(3)xS(1) is examined in depth. This background supports a large
N=4 superconformal symmetry. While in some respects similar to the familiar
small N=4 systems on AdS(3)xS(3)xK3 and A... | Functional renormalization flow and dynamical chiral symmetry breaking
of QCD: The dependence of function renormalization group equation on regulators is
investigated. A parameter is introduced to control the suppression of
regulators. Functional renormalization group equations will become
regulator-independent if th... |
Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence: We find the expectation value of the energy-momentum tensor in the CFT
corresponding to a moving black hole in AdS. Boosting the black hole to the
speed of light, keeping the total energy fixed, yields a gravitational shock
wave in AdS. The analogou... | Consistency between 11D and U-duality: U duality transformations must act on a basis of states that form complete
multiplets of the U group, at any coupling, even though the states may not be
mass degenerate, as for a broken symmetry. Similarly, if superstring theory is
related to a non-perturbative 11D M-theory, then ... |
Erratum: One-loop corrections to the string tension of the vortex in the
Abelian Higgs model: We correct two errors in our previous computation of one-loop corrections to
the vortex string tension: (i) the contribution of the longitudinal and
timelike modes of the gauge fields were forgotten and are included now; (ii... | Remarks on Fundamental String Cosmology: In recent work, it was shown that velocity-dependent forces between moving
strings or branes lead to an accelerating expanding universe without assuming
the existence of a cosmological constant. Here we show that the repulsive
velocity-dependent force arises in more general cont... |
Quantum Cohomology And All That: We found a quantum cohomology/homology of quantum Hall effect which arises as
the invariant property of the Chern-Simons theory of quantum Hall effect and
showed that it should be equivalent to the quantum cohomology which arose as
the invariant property of topological sigma models. Thi... | Rigorous constraints on the matrix elements of the energy-momentum
tensor: The structure of the matrix elements of the energy-momentum tensor play an
important role in determining the properties of the form factors $A(q^{2})$,
$B(q^{2})$ and $C(q^{2})$ which appear in the Lorentz covariant decomposition
of the matrix... |
Solutions in Exceptional Field Theory: Exceptional Field Theory employs an extended spacetime to make supergravity
fully covariant under the U-duality groups of M-theory. This allows for the
wave and monopole solutions to be combined into a single solution which obeys a
twisted self-duality relation. All fundamental, s... | The interplay between the <A^2> condensate and instantons: Using the Local Composite Operator formalism, we analytically study the
dimension two gluon condensate in the presence of instantons. We first use the
dilute gas approximation and partially solve the infrared problem of instanton
physics. In order to find quant... |
Flat space holography and complex SYK: We provide the first steps towards a flat space holographic correspondence in
two bulk spacetime dimensions. The gravity side is described by a conformally
transformed version of the matterless Callan-Giddings-Harvey-Strominger model.
The field theory side follows from the complex... | On reduced models for superstrings on AdS_n x S^n: We review the Pohlmeyer reduction procedure of the superstring sigma model on
AdS_n x S^n leading to a gauged WZW model with an integrable potential coupled
to 2d fermions. In particular, we consider the case of the Green-Schwarz
superstring on AdS_3 x S^3 supported by... |
Resurgence of the large-charge expansion: We study the O(2N) model at criticality in three dimensions in the double
scaling limit of large N and large charge. We show that the large-charge
expansion is an asymptotic series, and we use resurgence techniques to study
the non-perturbative corrections and to extend the val... | D-instantons, Strings and M-theory: The R^4 terms in the effective action for M-theory compactified on a
two-torus are motivated by combining one-loop results in type II superstring
theories with the Sl(2,Z) duality symmetry. The conjectured expression
reproduces precisely the tree-level and one-loop R^4 terms in the e... |
Phase Transitions for Gauge Theories on Tori from the AdS/CFT
Correspondence: The vacuum of a large-N gauge field on a p-torus has a spatial stress tensor
with tension along the direction of smallest periodicity and equal pressures
(but p times smaller in magnitude) along the other directions, assuming an
AdS/CFT cor... | Dipole Coupling Effect of Holographic Fermion in the Background of
Charged Gauss-Bonnet AdS Black Hole: We investigate the holographic fermions in the charged Gauss-Bonnet $AdS_{d}$
black hole background with the dipole coupling between fermion and gauge field
in the bulk. We show that in addition to the strength of ... |
Discrete gauge symmetries from (closed string) tachyon condensation: The study of discrete gauge symmetries in field theory and string theory is
often carried out by embedding them into continuous symmetries. Many symmetries
however do not seem to admit such embedding, for instance discrete isometries
given by large di... | Single-valued multiple zeta values in genus 1 superstring amplitudes: We study the modular graph functions introduced by Green, Russo, Vanhove in
the context of type II superstring scattering amplitudes of 4 gravitons on a
torus. In particular we describe a method to algorithmically compute the
coefficients in their ex... |
N=1 Gribov superfield extension: We propose a mechanism displaying confinement, as defined by the behavior of
the propagators, for 4 dimensional, N = 1 supersymmetric Yang-Mills theory in
superfield formalism. In this work we intend to verify the possibility of
extending the known Gribov problem of quantization of Yang... | General Results for Higher Spin Wilson Lines and Entanglement in
Vasiliev Theory: We develop tools for the efficient evaluation of Wilson lines in 3D higher
spin gravity, and use these to compute entanglement entropy in the
hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality
proposal of Gaberdiel ... |
The a-function for N=2 supersymmetric gauge theories in three dimensions: Recently, the existence of a candidate a-function for renormalisable theories
in three dimensions was demonstrated for a general theory at leading order and
for a scalar-fermion theory at next-to-leading order. Here we extend this work
by constru... | Does SUSY know about the Standard Model?: The BRST cohomology of free chiral SUSY has a wealth of Extraordinary
Invariants. When one adds a superpotential to the free theory, the extention of
the Extraordinary Invariants leads to some constraints on that superpotential.
A particularly simple solution of those constrain... |
Multi-Instanton Effect in Two Dimensional QCD: We analyze multi-instanton sector in two dimensional U(N) Yang-Mills theory
on a sphere. We obtain a contour intregrals representation of the
multi-instanton amplitude and find ``neutral'' configurations of the even
number instantons are dominant in the large N limit. Usin... | Waves on Noncommutative Spacetimes: Waves on ``commutative'' spacetimes like R^d are elements of the commutative
algebra C^0(R^d) of functions on R^d. When C^0(R^d) is deformed to a
noncommutative algebra {\cal A}_\theta (R^d) with deformation parameter \theta
({\cal A}_0 (R^d) = C^0(R^d)), waves being its elements, ar... |
Baryonic Corrections to Superpotentials from Perturbation Theory: We study the corrections induced by a baryon vertex to the superpotential of
SQCD with gauge group SU(N) and N quark flavors. We first compute the
corrections order by order using a standard field theory technique and derive
the corresponding glueball su... | Three-forms and Fayet-Iliopoulos terms in Supergravity: Scanning Planck
mass and BPS domain walls: We embed a new three-form vector multiplet in ${\cal N}=1$ supergravity and
we show that it can be used to generate dynamically the Hilbert--Einstein term.
We then recast the theory into the standard Freedman model and ... |
Superconformal Indices, Sasaki-Einstein Manifolds, and Cyclic Homologies: The superconformal index of the quiver gauge theory dual to type IIB string
theory on the product of an arbitrary smooth Sasaki-Einstein manifold with
five-dimensional AdS space is calculated both from the gauge theory and gravity
viewpoints. We ... | $\overline{\rm D3}$ and dS: The role of the $\overline{\rm D3}$ brane in providing de Sitter vacua with
spontaneously broken supersymmetry in the KKLT construction is clarified. The
first step in this direction was explained in arXiv:hep-th/0301240,
arXiv:hep-th/0308055: it was shown there that in the GKP background th... |
Vibration modes of giant gravitons in the background of dilatonic
D-branes: We consider the perturbation of giant gravitons in the background of
dilatonic D-branes whose geometry is not of a conventional form of ${\rm AdS}_m
\times {\rm S}^n$. We use the quadratic approximation to the brane action to
investigate thei... | Is scale-invariance in gauge-Yukawa systems compatible with the
graviton?: We explore whether perturbative interacting fixed points in matter systems
can persist under the impact of quantum gravity. We first focus on semi-simple
gauge theories and show that the leading order gravity contribution evaluated
within the ... |
Some comments about Schwarzschield black holes in Matrix theory: In the present paper we calculate the statistical partition function for any
number of extended objects in Matrix theory in the one loop approximation. As
an application, we calculate the statistical properties of K clusters of D0
branes and then the stat... | D4-branes wrapped on a spindle: We construct supersymmetric AdS$_4\times\Sigma$ solutions of $D=6$ gauged
supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle.
These uplift to solutions of massive type IIA supergravity using a general
prescription, that we describe. We argue that these solution... |
BRST Properties of New Superstring States: Brane-like states are defined by physical vertex operators in NSR superstring
theory, existing at nonzero pictures only. These states exist both in open and
closed string theories, in the NS and NS-NS sectors respectively. In this paper
we present a detailed analysis of their ... | Field redefinitions and Kähler potential in string theory at 1-loop: Field redefinitions at string 1-loop order are often required by
supersymmetry, for instance in order to make the K\"ahler structure of the
scalar kinetic terms manifest. We derive the general structure of the field
redefinitions and the K\"ahler pote... |
The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories: The simplest non-trivial 5d superconformal field theories (SCFT) are the
famous rank-one theories with $E_n$ flavour symmetry. We study their $U$-plane,
which is the one-dimensional Coulomb branch of the theory on $\mathbb{R}^4
\times S^1$. The total space of th... | A New Construction of Calabi-Yau Manifolds: Generalized CICYs: We present a generalization of the complete intersection in products of
projective space (CICY) construction of Calabi-Yau manifolds. CICY three-folds
and four-folds have been studied extensively in the physics literature. Their
utility stems from the fact ... |
The self-dual Lorentz violating model: quantization, scattering and dual
equivalence: In this paper, we analysis the dynamics, at the quantum level, of the
self-dual field minimally coupled to bosons with Lorentz symmetry breaking. We
quantize the model by applying the Dirac bracket canonical quantization
procedure. ... | Pure Spinor Partition Function Using Pade Approximants: In a recent paper, the partition function (character) of ten-dimensional pure
spinor worldsheet variables was calculated explicitly up to the fifth
mass-level. In this letter, we propose a novel application of Pade approximants
as a tool for computing the characte... |
Gravity on codimension 2 brane worlds: We compute the matching conditions for a general thick codimension 2 brane, a
necessary previous step towards the investigation of gravitational phenomena in
codimension 2 braneworlds. We show that, provided the brane is weakly curved,
they are specified by the integral in the ext... | Gravitational Blocks, Spindles and GK Geometry: We derive a gravitational block formula for the supersymmetric action for a
general class of supersymmetric AdS solutions, described by GK geometry.
Extremal points of this action describe supersymmetric AdS$_3$ solutions of
type IIB supergravity, sourced by D3-branes, an... |
Thermodynamics of Higher Spin Black Holes in AdS$_3$: We discuss the thermodynamics of recently constructed three-dimensional
higher spin black holes in SL(N,R)\times SL(N,R) Chern-Simons theory with
generalized asymptotically-anti-de Sitter boundary conditions. From a
holographic perspective, these bulk theories are d... | The Skyrme model and chiral perturbation theory: A lagrangian which describes interactions between a soliton and a background
field is derived for sigma models whose target is a symmetric space. The
background field modifies the usual moduli space approximation to soliton
dynamics in two ways: by introducing a potentia... |
Monodromy Matrix in the PP-Wave Limit: We construct the monodromy matrix for a class of gauged WZWN models in the
plane wave limit and discuss various properties of such systems. | AdS-phobia, the WGC, the Standard Model and Supersymmetry: It has been recently argued that an embedding of the SM into a consistent
theory of quantum gravity may imply important constraints on the mass of the
lightest neutrino and the cosmological constant $\Lambda_{4}$. The constraints
come from imposing the absence ... |
Two loop results from the derivative expansion of the blocked action: A derivative expansion of the Wegner-Houghton equation is derived for a
scalar theory. The corresponding full non-perturbative renormalization group
equations for the potential and the wave-function renormalization function are
presented. We also sho... | Lorentz-covariant spinor wave packet: We propose a new formulation of manifestly Lorentz-covariant spinor
wave-packet basis. The conventional definition of the spinor wave packet is
problematic in the sense that it suffers from mixing with other wave packets
under Lorentz transformations. Our formulation evades this di... |
Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory: We study the correspondence between AdS$_3$ massive IIA supergravity vacua
and two-dimensional $\mathcal{N}=(0,4)$ quiver quantum field theories. After
categorizing all kinds of gravity solutions, we demystify the ones that seem to
reflect anomalous gauge theo... | Entanglement of Stationary States in the Presence of Unstable
Quasiparticles: The effect of unstable quasiparticles in the out-of-equilibrium dynamics of
certain integrable systems has been the subject of several recent studies. In
this paper we focus on the stationary value of the entanglement entropy
density, its g... |
Quantitative approaches to information recovery from black holes: The evaporation of black holes into apparently thermal radiation poses a
serious conundrum for theoretical physics: at face value, it appears that in
the presence of a black hole quantum evolution is non-unitary and destroys
information. This information... | Universal scheme of minimal reduction of usual and dual N=1,D=10
supergravity to the Minkowsky space: The reduction from N=1, D=10 to N=4, D=4 supergravity with the Yang-Mills
matter is considered. For this purpose a set of constraints is imposed in order
to exclude six additional abelian matter multiplets and conser... |
Confinement effects from massive photons: This paper has been withdrawn by the author due to an error in equations 39
and 41. | Anomalies of the Achucarro-Ortiz black hole: Considering anomalies of quantum field in the (1+1)-dimensional
Achucarro-Ortiz black hole background, the stress tensor near and out of the
horizon is calculated, meanwhile, the relationship between anomalies and
Hawking radiation of the black hole is discussed. |
Integrability and Conformal Symmetry in Higher Dimensions: A Model with
Exact Hopfion Solutions: We use ideas on integrability in higher dimensions to define Lorentz
invariant field theories with an infinite number of local conserved currents.
The models considered have a two dimensional target space. Requiring the
e... | Anyons as quon particles: The momentum operator representation of nonrelativistic anyons is developed
in the Chern - Simons formulation of fractional statistics. The connection
between anyons and the q-deformed bosonic algebra is established. |
Sine-Gordon quantum field theory on the half-line with quantum boundary
degrees of freedom: The sine-Gordon model on the half-line with a dynamical boundary introduced
by Delius and one of the authors is considered at quantum level. Classical
boundary conditions associated with classical integrability are shown to be... | The Supercharges of Eleven-dimensional Supergraviton on Gravitational
Wave Background: We find the explicit expression of the supercharges of eleven dimensional
supergraviton on the background geometry of gravitational waves in
asymptotically light-like compactified spacetime. We perform the calculations
order by ord... |
Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum
Mechanics: We consider the self-adjoint extensions (SAE) of the symmetric supercharges
and Hamiltonian for a model of SUSY Quantum Mechanics in $\mathbb{R}^+$ with a
singular superpotential. We show that only for two particular SAE, whose
domains are... | Retarded Green's Function from Rotating AdS Black Holes: Emergent
CFT$_2$ and Viscosity: Using the AdS/CFT correspondence we consider the retarded Green's function in
the background of rotating near-extremal AdS$_4$ black holes. Following the
canonical AdS/CFT dictionary into the asymptotic boundary we get a CFT$_3$
... |
Quantum bit threads: We give a bit thread prescription that is equivalent to the quantum extremal
surface prescription for holographic entanglement entropy. Our proposal is
inspired by considerations of bit threads in doubly holographic models, and
equivalence is established by proving a generalisation of the Riemannia... | Notes on Properties of Holographic Matter: Probe branes with finite worldvolume electric flux in the background created
by a stack of Dp branes describe holographically strongly interacting
fundamental matter at finite density. We identify two quantities whose leading
low temperature behavior is independent of the dime... |
BPS Skyrmions as neutron stars: The BPS Skyrme model has been demonstrated already to provide a physically
intriguing and quantitatively reliable description of nuclear matter. Indeed,
the model has both the symmetries and the energy-momentum tensor of a perfect
fluid, and thus represents a field theoretic realization ... | Supersymmetric Gauge Theories and the AdS/CFT Correspondence: In these lecture notes we first assemble the basic ingredients of
supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory),
supergravity, and superstring theory. Brane solutions are surveyed. The
geometry and symmetries of anti-de Sitter spac... |
Scalar-metric-affine theories: Can we get ghost-free theories from
symmetry?: We reveal the existence of a certain hidden symmetry in general ghost-free
scalar-tensor theories which can only be seen when generalizing the geometry of
the spacetime from Riemannian. For this purpose, we study scalar-tensor
theories in t... | On Anyonic Propagators: We consider a simple action for a fractional spin particle and a path
integral representation for the propagator is obtained in a gauge such that the
constraint embodied in the Lagrangian is not an obstacle. We obtain a
propagator for the particle in a constant electromagnetic field via the path... |
Exact N=2 Landau-Ginzburg Flows: We find exactly solvable N=2-supersymmetric flows whose infrared fixed points
are the N=2 minimal models. The exact S-matrices and the Casimir energy (a
c-function) are determined along the entire renormalization group trajectory.
The c-function runs from c=3 (asymptotically) in the UV ... | Aspetti non perturbativi della Teoria delle Stringhe: Unabridged version of the Thesis presented to the University of L' Aquila, in
partial fulfillment of the requirements for the ``Laurea'' degree in Physics,
October 1998. Work carried out at the University of L'Aquila and at the
University of Rome ``Tor Vergata''. |
Some Notes Concerning the Dynamics of Noncommutative Lumps Corresponding
to Nontrivial Vacua in Noncommutative Yang--Mills Models which are
perturbative branches of M(atrix) Theory: We consider a pair of noncommutative lumps in the noncommutative
Yang--Mills/M(atrix) model. In the case when the lumps are separated ... | $S$-Duality and $H$-Monopoles: The spectrum of $H$-monopoles of the heterotic string compactified on a six
torus and its relationship to the $S$-duality conjecture is briefly reviewed.
It is based on work done in collaboration with J. Harvey and is a contribution
to the proceedings of Strings '95, USC, March 1995. |
Low Level Representations for E10 and E11: We work out the decomposition of the indefinite Kac Moody algebras ${E_{10}}$
and ${E_{11}}$ w.r.t. their respective subalgebras $A_9$ and $A_{10}$ at low
levels. Tables of the irreducible representations with their outer
multiplicities are presented for ${E_{10}}$ up to level... | Quantum probing of null-singularities: We adapt the dual-null foliation to the functional Schr\"odinger
representation of quantum field theory and study the behavior of quantum probes
in plane-wave space-times near the null-singularity. A comparison between the
Einstein-Rosen and the Brinkmann patch, where the latter e... |
Chromo-natural warm inflation: Chromo-natural inflation is a model where non-abelian gauge fields are
sustained by the coupling of the axion with the gauge field through the
Chern-Simons term. While minimal warm inflation is a model where the axion
produces a thermal bath of non-abelian gauge particles through the Cher... | The effective action of (2+1)-dimensional QED: the effect of finite
fermion density: The effective action of (2+1)-dimensional QED with finite fermion density is
calculated in a uniform electromagnetic field. It is shown that the integer
quantum Hall effect and de Haas-van Alphen like phenomena in condensed matter
ph... |
Auxiliary Field Formulation of Supersymmetric Nonlinear Sigma Models: Two dimensional N=2 supersymmetric nonlinear sigma models on hermitian
symmetric spaces are formulated in terms of the auxiliary superfields. If we
eliminate auxiliary vector and chiral superfields, they give D- and F-term
constraints to define the t... | Phase transitions of GUP-corrected charged AdS black hole: We study the thermodynamic properties and critical behaviors of the
topological charged black hole in AdS space under the consideration of the
generalized uncertainty principle (GUP). It is found that only in the spherical
horizon case there are Van der Waals-l... |
Two-Loop Vacuum Diagrams in Background Field and Heisenberg-Euler
Effective Action: We show that in arbitrary even dimension, the two-loop scalar QED
Heisenberg-Euler effective action can be reduced to simple one-loop quantities,
using just algebraic manipulations, when the constant background field
satisfies F^2 = -... | Self-organized criticality in quantum gravity: We study a simple model of spin network evolution motivated by the hypothesis
that the emergence of classical space-time from a discrete microscopic dynamics
may be a self-organized critical process. Self organized critical systems are
statistical systems that naturally ev... |
Asymptotic Symmetries in Electrodynamics and Kalb-Ramond Theory: In this thesis, we aim to find the asymptotic symmetries of the Kalb-Ramond
field in four dimensions at future null infinity. We start by reviewing the
asymptotic symmetries of electrodynamics in four-dimensional Minkowski
spacetime at future null infinit... | Finite Fermion Density Effects on the Electroweak String: We consider an Electroweak string in the background of a uniform distribution
of cold fermionic matter. As a consequence of the fermion number
non-conservation in the Weinberg-Salam model, the string produces a long-range
magnetic field. |
An approach to anomalies in M-theory via KSpin: The M-theory fieldstrength and its dual, given by the integral lift of the
left hand side of the equation of motion, both satisfy certain cohomological
properties. We study the combined fields and observe that the multiplicative
structure on the product of the correspondi... | Complexity measures from geometric actions on Virasoro and Kac-Moody
orbits: We further advance the study of the notion of computational complexity for 2d
CFTs based on a gate set built out of conformal symmetry transformations.
Previously, it was shown that by choosing a suitable cost function, the
resulting complex... |
A Note on 4D Heterotic String Vacua, FI-terms and the Swampland: We present a conjecture for the massless sector of perturbative 4D $N=1$
heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them
possibly anomalous (like in standard heterotic compactifications).
Mathematically it states that the p... | Orbit Averaging Coherent States: Holographic Three-Point Functions of
AdS Giant Gravitons: We study correlation functions of two AdS giant gravitons in AdS$_5\times
S^5$ and a BPS supergravity mode using holography. In the gauge theory these
are described by BPS correlators of Schur polynomials of fully-symmetric
rep... |
BRST, anti-BRST and gerbes: We discuss BRST and anti--BRST transformations for an Abelian antisymmetric
gauge field in 4D and find that, in order for them to anticommute, we have to
impose a condition on the auxiliary fields. This condition is similar to the
Curci-Ferrari condition for the 4D non--Abelian 1-form gauge ... | Gauge/Gravity Duality and the Black Hole Interior: We present a further argument that typical black holes with field theory
duals have firewalls at the horizon. This argument makes no reference to
entanglement between the black hole and any distant system, and so is not
evaded by identifying degrees of freedom inside t... |
Notes on Scattering Amplitudes as Differential Forms: Inspired by the idea of viewing amplitudes in ${\cal N}=4$ SYM as
differential forms on momentum twistor space, we introduce differential forms
on the space of spinor variables, which combine helicity amplitudes in any
four-dimensional gauge theory as a single objec... | Gauged vortices in a background: We discuss the statistical mechanics of a gas of gauged vortices in the
canonical formalism. At critical self-coupling, and for low temperatures, it
has been argued that the configuration space for vortex dynamics in each
topological class of the abelian Higgs model approximately trunca... |
Black Five-Branes and Fluxbranes on Gravitational Instantons: We apply a U-duality based solution-generating technique to construct
supergravity solutions which describe nonextremal D5-branes and fluxbranes on
various gravitational instantons. This includes an F7-brane wrapped on a
sphere, which remains weakly-coupled ... | Towards the Theory of Non--Abelian Tensor Fields I: We present a triangulation--independent area--ordering prescription which
naturally generalizes the well known path ordering one. For such a prescription
it is natural that the two--form ``connection'' should carry three ``color''
indices rather than two as it is in t... |
Supersymmetric Yang-Mills Theory in Eleven Dimensions: We present a Lorentz invariant lagrangian formulation for a supersymmetric
Yang-Mills vector multiplet in eleven dimensions (11D). The Lorentz symmetry is
broken at the field equation level, and therefore the breaking is spontaneous,
as in other formulations of sup... | Professor Nambu, String Theory and Moonshine Phenomenon: I first recall the last occasion of meeting the late Professor Yoichiro Nambu
in a hospital in Osaka. I then present a brief introduction to the moonshine
phenomenon in string theory which is under recent investigations. |
Momentum space CFT correlators of non-conserved spinning operators: We analyse the 3-point CFT correlators involving non-conserved spinning
operators in momentum space. We derive a general expression for the conformal
Ward identities defining the 3-point functions involving two generic spin $s$
non-conserved operators ... | Higher order WKB corrections to black hole entropy in brick wall
formalism: We calculate the statistical entropy of a quantum field with an arbitrary
spin propagating on the spherical symmetric black hole background by using the
brick wall formalism at higher orders in the WKB approximation. For general
spins, we fin... |
Gluon scattering in N=4 super-Yang-Mills theory from weak to strong
coupling: I describe some recent developments in the understanding of gluon scattering
amplitudes in N=4 super-Yang-Mills theory in the large-N_c limit. These
amplitudes can be computed to high orders in the weak coupling expansion, and
also now at s... | On the Operator Product Expansion in Noncommutative Quantum Field Theory: Motivated by the mixing of UV and IR effects, we test the OPE formula in
noncommutative field theory. First we look at the renormalization of local
composite operators, identifying some of their characteristic IR/UV
singularities. Then we find th... |
On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM: Strong evidence indicates that the spectrum of planar anomalous dimensions of
N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A
curious observation is that the Bethe equations for the psu(1,1|2) subsector
lead to very large degeneracie... | Deriving Boundary S Matrices: We show how to derive exact boundary $S$ matrices for integrable quantum
field theories in 1+1 dimensions using lattice regularization. We do this
calculation explicitly for the sine-Gordon model with fixed boundary conditions
using the Bethe ansatz for an XXZ-type spin chain in a boundary... |
The Super Period Matrix With Ramond Punctures: We generalize the super period matrix of a super Riemann surface to the case
that Ramond punctures are present. For a super Riemann surface of genus g with
2r Ramond punctures, we define, modulo certain choices that generalize those in
the classical theory (and assuming a ... | Aspects of Electrodynamics Modified by Some Dimension-five Lorentz
Violating Interactions: Assuming Lorentz symmetry is broken by some fixed vector background, we study
the spinor electrodynamics modified by two dimension-five Lorentz-violating
interactions between fermions and photons. The effective polarization and... |
Gauge Coupling Unification in F-theory GUT Models: We investigate gauge coupling unification for F-theory respectively Type IIB
orientifold constructions of SU(5) GUT theories with gauge symmetry breaking
via non-trivial hypercharge flux. This flux has the non-trivial effect that it
splits the values of the three MSSM ... | Cosmological Classicalization: Maintaining Unitarity under Relevant
Deformations of the Einstein-Hilbert Action: Generic relevant deformations of Einstein's gravity theory contain additional
degrees of freedom that have a multi-facetted stabilization dynamics on curved
spacetimes. We show that these relevant degrees ... |
Almost certain loss from black holes: critical comments on the black
hole final state proposal: In this paper, we critically revisit the Horowitz-Maldacena proposal and its
generalization by Lloyd. In the original proposal, as well as in Lloyd's
generalization, Hawking radiation involves a pair of maximally entangled... | Systematics of IIB spinorial geometry: We reduce the classification of all supersymmetric backgrounds of IIB
supergravity to the evaluation of the Killing spinor equations and their
integrability conditions, which contain the field equations, on five types of
spinors. This extends the work of [hep-th/0503046] to IIB su... |
Holographic cold nuclear matter as dilute instanton gas: We study cold nuclear matter based on the holographic gauge theory, where
baryons are introduced as the instantons in the probe D8/D8 branes according to
the Sakai-Sugimoto model. Within a dilute gas approximation of instantons, we
search for the stable states vi... | Phase fluctuations in low-dimensional Gross-Neveu models: We consider the Gross-Neveu model with a continuous chiral symmetry in two
and three spacetime dimensions at zero and finite temperature. In order to
study long-range phase coherence, we construct an effective low-energy
Lagrangian for the phase $\theta$. This e... |
Four-graviton scattering to three loops in ${\mathcal N}=8$ supergravity: We compute the three-loop scattering amplitude of four gravitons in
${\mathcal N}=8$ supergravity. Our results are analytic formulae for a Laurent
expansion of the amplitude in the regulator of dimensional regularisation. The
coefficients of this... | Lorentz violation and Gravitoelectromagnetism: Casimir effect and
Stefan-Boltzmann law at Finite temperature: The standard model and general relativity are local Lorentz invariants.
However it is possible that at Planck scale there may be a breakdown of Lorentz
symmetry. Models with Lorentz violation are constructed ... |
Notes on Feynman Integrals and Renormalization: I review various aspects of Feynman integrals, regularization and
renormalization. Following Bloch, I focus on a linear algebraic approach to the
Feynman rules, and I try to bring together several renormalization methods
found in the literature from a unifying point of vi... | Combinatorial Solution of the Two-Matrix Model: We write down and solve a closed set of Schwinger-Dyson equations for the
two-matrix model in the large $N$ limit. Our elementary method yields exact
solutions for correlation functions involving angular degrees of freedom whose
calculation was impossible with previously ... |
Fractional M2-branes: We consider two generalizations of the N=6 superconformal Chern-Simons-matter
theories with gauge group U(N)xU(N). The first generalization is to N=6
superconformal U(M)xU(N) theories, and the second to N=5 superconformal
O(2M)xUSp(2N) and O(2M+1)xUSp(2N) theories. These theories are conjectured t... | Stringy $\mathcal{N}=(2,2)$ holography for AdS${_3}$: We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with
$\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on
${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal
deformations of the symmetric product orbifold of $\math... |
Fermions, Mass-Gap and Landau Levels: Gauge invariant Hamiltonian for
QCD in D=2+1: A gauge-invariant reformulation of QCD in three spacetime dimensions is
presented within a Hamiltonian formalism, extending previous work to include
fermion fields in the adjoint and fundamental representations. A priori there
are sev... | Local and global gauge-fixing: Gauge-fixing as a sampling procedure of gauge copies provides a possibility
to construct well-defined gauges also beyond perturbation theory. The
implementation of such sampling strategies in lattice gauge theory is briefly
outlined, and examples are given for non-perturbative extensions ... |
Renormalization group flow of coupled tensorial group field theories:
Towards the Ising model on random lattices: We introduce a new family of tensorial field theories by coupling different
fields in a non-trivial way, with a view towards the investigation of the
coupling between matter and gravity in the quantum reg... | Quantum kink model and SU(2) symmetry: Spin interpretation and
T-violation: In this paper we consider the class of exact solutions of the Schrodinger
equation with the Razavi potential. By means of this we obtain some
wavefunctions and mass spectra of the relativistic scalar field model with
spontaneously broken symm... |
Geodesic completeness in a wormhole spacetime with horizons: The geometry of a spacetime containing a wormhole generated by a spherically
symmetric electric field is investigated in detail. These solutions arise in
high-energy extensions of General Relativity formulated within the Palatini
approach and coupled to Maxwe... | Squashing the Boundary of Supersymmetric AdS$_5$ Black Holes: We construct new supersymmetric black holes in five-dimensional supergravity
with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging.
These are asymptotically locally AdS$_5$ and the conformal boundary comprises a
squashed three-sphere wit... |
Higher loop renormalization of a supersymmetric field theory: Using Dyson--Schwinger equations within an approach developed by Broadhurst
and Kreimer and the renormalization group, we show how high loop order of the
renormalization group coefficients can be efficiently computed in a
supersymmetric model. | Topological black holes in Einstein-Maxwell and 4D conformal gravities
revisited: The thermodynamics of charged topological black holes (TBHs) with different
horizon geometries in $d$-dimensional Einstein-Maxwell and 4-dimensional
conformal gravities is revisited using the restricted phase space formalism.
The concep... |
External Fields as Intrinsic Geometry: There is an interesting dichotomy between a space-time metric considered as
external field in a flat background and the same considered as an intrinsic
part of the geometry of space-time. We shall describe and compare two other
external fields which can be absorbed into an appropr... | Generalized hidden Kerr/CFT: We construct a family of vector fields that generate local symmetries in the
solution space of low frequency massless field perturbations in the general
Kerr geometry. This yields a one-parameter family of SL(2,R)x SL(2,R) algebras.
We identify limits in which the SL(2,R)xSL(2,R) algebra co... |
Deflection angle and Shadows by Black Holes in Starobinsky-Bel-Robinson
Gravity from M-theory: Motivated by M-theory compactifications, we investigate optical properties of
black holes in the Starobinsky-Bel-Robinsion gravity. Precisely, we study the
shadows and the deflection angle of light rays by non-rotating and ... | Intersecting hypersurfaces in AdS and Lovelock gravity: Colliding and intersecting hypersurfaces filled with matter (membranes) are
studied in the Lovelock higher order curvature theory of gravity. Lovelock
terms couple hypersurfaces of different dimensionalities, extending the range
of possible intersection configurat... |
Thermal Fluctuations of Induced Fermion Number: We analyze the phemomenon of induced fermion number at finite temperature. At
finite temperature, the induced fermion number $<N>$ is a thermal expectation
value, and we compute the finite temperature fluctuations, $(\Delta
N)^2=<N^2>-<N>^2$. While the zero temperature in... | Conformal Invariance of the D-Particle Effective Action: It is shown that the effective theory of D-particles has conformal symmetry
with field-dependent parameters. This is a consequence of the supersymmetry.
The string coupling constant is not transformed in contrast with the recent
proposal of generalized conformal ... |
Exact amplitudes in four dimensional non-critical string theories: The large Nc expansion of N=2 supersymmetric Yang-Mills theory with gauge
group SU(Nc) has recently been shown to break down at singularities on the
moduli space. We conjecture that by taking Nc to infinity and approaching the
singularities in a correla... | 2D holography beyond the Jackiw-Teitelboim model: Having in mind extensions of 2D holography beyond the Jackiw-Teitelboim model
we propose holographic counterterms and asymptotic conditions for a family of
asymptotically AdS$_2$ dilaton gravity models leading to a consistent
variational problem and a finite on-shell ac... |
Constraints on $N_c$ in Extensions of the Standard Model: We consider a class of theories involving an extension of the Standard Model
gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive
constraints on $N_c$. One motivation for this is the string theory landscape.
For two natural classes of e... | The non-perturbative structure of the photon and gluon propagators: The non-perturbative structure of the photon and gluon propagators plays an
important role in governing the dynamics of quantum electrodynamics (QED) and
quantum chromodynamics (QCD) respectively. Although it is often assumed that
these interacting fie... |
The Two-Parameter Brane Sigma-Model: M*, M' solutions and M-theory
solutions dependent on exotic coordinates: We investigate two-parameter solutions of sigma-models on two dimensional
symmetric spaces contained in E11. Embedding such sigma-model solutions in
space-time gives solutions of M* and M'-theory where the me... | Entanglement entropy, black holes and holography: We observe that the entanglement entropy resulting from tracing over a
subregion of an initially pure state can grow faster than the surface area of
the subregion (indeed, proportional to the volume), in contrast to examples
studied previously. The pure states with this... |
Mirror Symmetry and the Moduli Space for Generic Hypersurfaces in Toric
Varieties: The moduli dependence of $(2,2)$ superstring compactifications based on
Calabi--Yau hypersurfaces in weighted projective space has so far only been
investigated for Fermat-type polynomial constraints. These correspond to
Landau-Ginzbur... | Scattering matrix in external field problems: We discuss several aspects of second quantized scattering operators $\hat S$
for fermions in external time dependent fields. We derive our results on a
general, abstract level having in mind as a main application potentials of the
Yang--Mills type and in various dimensions.... |
Towards $\ell$-conformal Galilei algebra via contraction of the
conformal group: We show that the In\"{o}n\"{u}-Wigner contraction of $so(\ell+1,\ell+d)$ with
the integer $\ell>1$ may lead to algebra which contains a variety of conformal
extensions of the Galilei algebra as subalgebras. These extensions involve the
$... | Semi-classical string solutions for N=1 SYM: We study semi-classically the dynamics of string solitons in the
Maldacena-Nunez background, dual in the infra-red to N=1, d=4 SYM. For closed
string configurations rotating in the S^2 x R space wrapped by the stack of N
D-branes we find a behavior that indicates the decoupl... |
The Yangian Deformation of the W-Algebras and and the
Calogero-Sutherland model: The Yangian symmetry Y(su($n$)) of the Calogero-Sutherland-Moser spin model
is reconsidered. The Yangian generators are constructed from two non-commuting
su($n$)-loop algebras. The latters generate an infinite dimensional symmetry
algeb... | General brane cosmologies and their global spacetime structure: Starting from a completely general standpoint, we find the most general
brane-Universe solutions for a three-brane in a five dimensional spacetime. The
brane can border regions of spacetime with or without a cosmological constant.
Making no assumptions oth... |
Supertranslations and Holography near the Horizon of Schwarzschild Black
Holes: In this paper we review and discuss several aspects of supertranslations and
their associated algebras at the horizon of a Schwarzschild black hole. We will
compare two different approaches on horizon supertranslations, which were
recentl... | Breaking away from the near horizon of extreme Kerr: We study gravitational perturbations around the near horizon geometry of the
(near) extreme Kerr black hole. By considering a consistent truncation for the
metric fluctuations, we obtain a solution to the linearized Einstein equations.
The dynamics is governed by two... |
A bigraded version of the Weil algebra and of the Weil homomorphism for
Donaldson invariants: We describe a bigraded generalization of the Weil algebra, of its basis and
of the characteristic homomorphism which besides ordinary characteristic
classes also maps on Donaldson invariants. | Noncommutative Gauge Fields on Poisson Manifolds: It is shown by Connes, Douglas and Schwarz that gauge theory on
noncommutative torus describes compactifications of M-theory to tori with
constant background three-form field. This indicates that noncommutative gauge
theories on more general manifolds also can be useful... |
On the low energy limit of one loop photon-graviton amplitudes: We present first results of a systematic study of the structure of the low
energy limit of the one-loop photon-graviton amplitudes induced by massive
scalars and spinors. Our main objective is the search of KLT-type relations
where effectively two photons ... | Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits
in ${\cal N}=4$ SYM and matrix models: We find new vacuum solutions of ${\cal N}=4$ super-Yang-Mills with totally
anti-symmetric cubic soft SUSY breaking terms, or equivalently solutions of the
IKKT matrix model of type $\mathbb{R}^4_\theta \time... |
Comments on supergravity dual of pure N=1 Super Yang Mills theory with
unbroken chiral symmetry: Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing
pure N=1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution
exhibits confinement and the U(1)_R chiral symmetry breaking of the du... | Wilson loops and defect RG flows in ABJM: We continue our study of renormalization group (RG) flows on Wilson loop
defects in ABJM theory, which we have initiated in arXiv:2211.16501. We
generalize that analysis by including non-supersymmetric fixed points and RG
trajectories. To this end, we first determine the ``ordi... |
Unimodular Gauge and ADM Gravity Path Integral: This paper proposes a definition of gravitational observables and of their
path integral formula within the framework of ADM foliation and the choice of
unimodular gauge classes. The method enforces a BRST invariant gauge fixing of
the lapse and shift fields. It yields th... | Statistical mechanics of gravitons in a box and the black hole entropy: This paper is devoted to the study of the statistical mechanics of trapped
gravitons obtained by 'trapping' a spherical gravitational wave in a box. As a
consequence, a discrete spectrum dependent on the Legendre index $\ell$ similar
to the harmoni... |
Gauge invariances vis-{á}-vis Diffeomorphisms in second order metric
gravity: A new Hamiltonian approach: A new analysis of the gauge invariances and their unity with diffeomorphism
invariances in second order metric gravity is presented which strictly follows
Dirac's constrained Hamiltonian approach. | Fundamental Strings, Holography, and Nonlinear Superconformal Algebras: We discuss aspects of holography in the AdS_3 \times S^p near string geometry
of a collection of straight fundamental heterotic strings. We use anomalies and
symmetries to determine general features of the dual CFT. The symmetries
suggest the appea... |
Effective Field calculations of the Energy Spectrum of the
$\mathcal{PT}% $-Symmetric ($-x^{4}$) Potential: In this work, we show that the traditional effective field approach can be
applied to the $\mathcal{PT}$-symmetric wrong sign ($-x^{4}$) quartic
potential. The importance of this work lies in the possibility of... | Cancellation of long-range forces in Einstein-Maxwell-dilaton system: We examine cancellation of long-range forces in Einstein-Maxwell-Dilatonic
system. Several conditions of the equilibrium of two charged masses in general
relativity is found by many authors. These conditions are altered by taking
account of dilatonic... |
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