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Agujeros negros clasicos y cuanticos en teoria de cuerdas: Introductory lectures on classical and quantum string black holes
(supergravity, branes and dualities) given at the VII School "La Hechicera" of
Relativity, Fields and Astrophysics, held in the University of Los Andes,
Merida (Venezuela) 2001. Fully in Spanish. | hep-th |
Celestial Feynman Rules for Scalars: Off-shell celestial amplitudes with both time-like and space-like external
legs are defined. The Feynman rules for scalar amplitudes, viewed as a set of
recursion relations for off-shell momentum space amplitudes, are transformed to
the celestial sphere using the split representatio... | hep-th |
The supersymmetric extension of the replica model: We perform a $\mathcal{N}=1$ supersymmetric extension of the replica model
quantized in the Landau gauge and compute the gluon and gluino propagators at
tree-level, such results display a supersymmetric confined model very similar
to the supersymmetric version of the G... | hep-th |
Squeezing as a probe of the universality hypothesis: We compute analytically the radiative quantum corrections, up to
next-to-leading loop order, to the universal critical exponents for both
massless and massive O($N$) $\lambda\phi^{4}$ scalar squeezed field theories
for probing the universality hypothesis. For that, w... | hep-th |
Four-modulus "Swiss Cheese" chiral models: We study the 'Large Volume Scenario' on explicit, new, compact, four-modulus
Calabi-Yau manifolds. We pay special attention to the chirality problem pointed
out by Blumenhagen, Moster and Plauschinn. Namely, we thoroughly analyze the
possibility of generating neutral, non-pert... | hep-th |
Holography in Lovelock Chern-Simons AdS Gravity: We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity
in higher dimensions using first order formalism. We first find asymptotic
symmetries in the AdS sector showing that they consist of local translations,
local Lorentz rotations, dilatations and... | hep-th |
Local BRST cohomology in minimal D=4, N=1 supergravity: The local BRST cohomology is computed in old and new minimal supergravity,
including the coupling to Yang-Mills gauge multiplets. This covers the
determination of all gauge invariant local actions for these models, the
classification of all the possible counterter... | hep-th |
Conformal Bootstrap Analysis for Yang-Lee Edge Singularity: The Yang-Lee edge singularity is investigated by the determinant method of
the conformal field theory. The critical dimension Dc, for which the scale
dimension of scalar Delta_phi is vanishing, is discussed by this determinant
method. The result is incorporate... | hep-th |
The microscopic spectrum of the QCD Dirac operator with finite quark
masses: We compute the microscopic spectrum of the QCD Dirac operator in the presence
of dynamical fermions in the framework of random-matrix theory for the chiral
Gaussian unitary ensemble. We obtain results for the microscopic spectral
correlators... | hep-th |
An Origin Story for Amplitudes: We classify origin limits of maximally helicity violating multi-gluon
scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory, where
a large number of cross ratios approach zero, with the help of cluster
algebras. By analyzing existing perturbative data, and bootstrapping... | hep-th |
Non-perturbative topological string theory on compact Calabi-Yau 3-folds: We obtain analytic and numerical results for the non-perturbative amplitudes
of topological string theory on arbitrary, compact Calabi-Yau manifolds. Our
approach is based on the theory of resurgence and extends previous special
results to the mo... | hep-th |
Covariance of WDVV equations: The (generalized) WDVV equations for the prepotentials in $2d$ topological
and $4,5d$ Seiberg-Witten models are covariant with respect to non-linear
transformations, described in terms of solutions of associated linear problem.
Both time-variables and the prepotential change non-trivially,... | hep-th |
Fermion states on domain wall junctions and the flavor number: In this paper we address the problem of localizing fermion states on stable
domain walls junctions. The study focus on the consequences of intersecting six
independent 8d domain walls to form 4d junctions in a ten-dimensional
spacetime. This is related to t... | hep-th |
Quark mass correction to the string potential: A consistent method for calculating the interquark potential generated by the
relativistic string with massive ends is proposed. In this approach the
interquark potential in the model of the Nambu--Goto string with point--like
masses at its ends is calculated. At first the... | hep-th |
The Energy Loss of a Heavy Quark Moving Through a General Fluid
Dynamical Flow: We determine the most general form of the covariant drag force exerted on a
quark moving through a fluid dynamical flow. Up to first order in derivative
expansion, our general formula requires the specification of seven coefficient
functi... | hep-th |
On the BRST approach to the description of a Regge trajectory: The free field theory for Regge trajectory is described in the framework of
the BRST - quantization method. The physical spectrum includes daugther
trajectories along with parent one. The applicability of the BRST approach to
the description of a single Reg... | hep-th |
A new symmetry of the colored Alexander polynomial: We present a new conjectural symmetry of the colored Alexander polynomial,
that is the specialization of the quantum $\mathfrak{sl}_N$ invariant widely
known as the colored HOMFLY-PT polynomial. We provide arguments in support of
the existence of the symmetry by study... | hep-th |
Thermal AdS(3), BTZ and competing winding modes condensation: We study the thermal physics of AdS(3) and the BTZ black hole when embedded
in String theory. The exact calculation of the Hagedorn temperature in TAdS(3)
is reinterpreted as the appearance of a winding tachyon both in AdS(3) and BTZ.
We construct a dual fra... | hep-th |
Invariance of Unruh and Hawking radiation under matter-induced
supertranslations: Matter fields are supertranslated upon crossing a shock wave, which leads to
entanglement of the quantum vacuum between the two regions on either side of
the shock wave. We probe this entanglement for a scalar field in a planar shock
wa... | hep-th |
Dirac versus reduced phase space quantization for systems admitting no
gauge conditions: The constrained Hamiltonian systems admitting no gauge conditions are
considered. The methods to deal with such systems are discussed and developed.
As a concrete application, the relationship between the Dirac and reduced phase
... | hep-th |
Gluonic fields of a static particle to all orders in 1/N: We determine the expectation value of the gauge invariant operator Tr
[F^2+... ] for N=4 SU(N) SYM, in the presence of an infinitely heavy static
particle in the symmetric representation of SU(N). We carry out the computation
in the context of the AdS/CFT corres... | hep-th |
Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua: We study the cancellation of U(1) anomalies in Type I and Type IIB D=4, N=1
string vacua. We first consider the case of compact toroidal $Z_N$ Type IIB
orientifolds and then proceed to the non-compact case of Type IIB D3 branes at
orbifold and orientifold s... | hep-th |
Determination of critical exponents and equation of state by field
theory method: Path integrals have played a fundamental role in emphasizing the profound
analogies between Quantum Field Theory (QFT), and Classical as well as Quantum
Statistical Physics. Ideas coming from Statistical Physics have then led to a
deepe... | hep-th |
Field-enlarging transformations and chiral theories: A field-enlarging transformation in the chiral electrodynamics is performed.
This introduces an additional gauge symmetry to the model that is unitary and
anomaly-free and allows for comparison of different models discussed in the
literature. The problem of superfluo... | hep-th |
Looking at the Gregory-Laflamme instability through quasi-normal modes: We study evolution of gravitational perturbations of black strings. It is
well known that for all wavenumber less than some threshold value, the black
string is unstable against scalar type of gravitational perturbations, which is
named the Gregory... | hep-th |
Non-Local Effects of Multi-Trace Deformations in the AdS/CFT
Correspondence: The AdS/CFT correspondence relates deformations of the CFT by "multi-trace
operators" to "non-local string theories". The deformed theories seem to have
non-local interactions in the compact directions of space-time; in the gravity
approxima... | hep-th |
Casimir Energies for Spherically Symmetric Cavities: A general calculation of Casimir energies --in an arbitrary number of
dimensions-- for massless quantized fields in spherically symmetric cavities is
carried out. All the most common situations, including scalar and spinor
fields, the electromagnetic field, and vario... | hep-th |
Holography for Einstein-Maxwell-dilaton theories from generalized
dimensional reduction: We show that a class of Einstein-Maxwell-Dilaton (EMD) theories are related
to higher dimensional AdS-Maxwell gravity via a dimensional reduction over
compact Einstein spaces combined with continuation in the dimension of the
com... | hep-th |
Quasi-instantons in QCD with chiral symmetry restoration: We show, without using semiclassical approximations, that, in
high-temperature QCD with chiral symmetry restoration and U(1) axial symmetry
breaking, the partition function for sufficiently light quarks can be expressed
as an ensemble of noninteracting objects w... | hep-th |
Entropy Function for Heterotic Black Holes: We use the entropy function formalism to study the effect of the Gauss-Bonnet
term on the entropy of spherically symmetric extremal black holes in heterotic
string theory in four dimensions. Surprisingly the resulting entropy and the
near horizon metric, gauge field strengths... | hep-th |
$\mathcal{N} = (2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $AdS_3$
supergravity with new boundaries: We present the first example of $\mathcal{N}=(2,2)$ formulation for the
extended higher-spin $AdS_3$ supergravity with the most general boundary
conditions as an extension of the $\mathcal{N} =\,(1,1)$ work, dis... | hep-th |
Exactly Marginal Deformations of N=4 SYM and of its Supersymmetric
Orbifold Descendants: In this paper we study exactly marginal deformations of field theories living
on D3-branes at low energies. These theories include N=4 supersymmetric
Yang-Mills theory and theories obtained from it via the orbifolding procedure.
... | hep-th |
On the holographic duals of N=1 gauge dynamics: We analyze the holographic description of several properties of $\N=1$
confining gauge dynamics. In particular we discuss Wilson loops including the
issues of a Luscher term and the broadening of the flux tubes, 't Hooft loops,
baryons, instantons, chiral symmetry breakin... | hep-th |
Holographic non-computers: We introduce the notion of holographic non-computer as a system which
exhibits parametrically large delays in the growth of complexity, as calculated
within the Complexity-Action proposal. Some known examples of this behavior
include extremal black holes and near-extremal hyperbolic black hol... | hep-th |
Moving Domain Walls in $AdS_5$ and Graceful Exit from Inflation: We consider moving-brane-solutions in AdS type back ground. In the first
Randall-Sundrum configuration, there are two branes at fixed points of the
orbifold symmetry. We point out that if one brane is fixed and the other brane
is moving, the configuration... | hep-th |
Dirac operators on the Taub-NUT space, monopoles and SU(2)
representations: We analyse the normalisable zero-modes of the Dirac operator on the Taub-NUT
manifold coupled to an abelian gauge field with self-dual curvature, and
interpret them in terms of the zero modes of the Dirac operator on the 2-sphere
coupled to a... | hep-th |
Directly from $H$-flux to the family of three nonlocal $R$-flux theories: In this article we consider T-dualization of the 3D closed bosonic string in
the weakly curved background - constant metric and Kalb-Ramond field with one
non-zero component, $B_{xy}=Hz$, where field strength $H$ is infinitesimal. We
use standard... | hep-th |
Renormalization of Non-Semisimple Gauge Models with the Background Field
Method: We study the renormalization of non-semisimple gauge models quantized in the
`t Hooft-background gauge to all orders. We analyze the normalization
conditions for masses and couplings compatible with the Slavnov-Taylor and
Ward-Takahashi ... | hep-th |
On RSOS models associated to Lie algebras and RCFT: RSOS models based on the Lie algebras $B_m$, $C_m$ and $D_m$ are derived from
the braiding of conformal field theory. This gives the first systematic
derivation of these models earlier described by Jimbo et al. The general two
field Boltzmann weights associated to any... | hep-th |
Classical stability of stringy wormholes in flat and AdS spaces: We study small fluctuations of the stringy wormhole solutions of
graviton-dilaton-axion system in arbitrary dimensions. We show under
O($d$)-symmetric harmonic perturbation that the Euclidean wormhole solutions
are unstable in flat space irrespective of d... | hep-th |
Spin(7)-Manifolds as Generalized Connected Sums and 3d N=1 Theories: M-theory on compact eight-manifolds with $\mathrm{Spin}(7)$-holonomy is a
framework for geometric engineering of 3d $\mathcal{N}=1$ gauge theories
coupled to gravity. We propose a new construction of such
$\mathrm{Spin}(7)$-manifolds, based on a gener... | hep-th |
Reflection algebra, Yangian symmetry and bound-states in AdS/CFT: We present the `Heisenberg picture' of the reflection algebra by explicitly
constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends
on a boundary with non-trivial degrees of freedom and which preserves the full
bulk Lie symmetry a... | hep-th |
Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality: We conjecture closed-form expressions for the Macdonald limits of the
superconformal indices of the (A_1, A_{2n-3}) and (A_1, D_{2n}) Argyres-Douglas
(AD) theories in terms of certain simple deformations of Macdonald polynomials.
As checks of our conj... | hep-th |
Scalar BCJ Bootstrap: In this letter, we study tree-level scattering amplitudes of scalar particles
in the context of effective field theories. We use tools similar to the soft
bootstrap to build an ansatz for cyclically ordered amplitudes and impose the
Bern-Carrasco-Johansson (BCJ) relations as a constraint. We obtai... | hep-th |
Some approaches to 2+1-dimensional gravity coupled to point-particles: In these notes we will review some approaches to 2+1 dimensional gravity and
the way it is coupled to point-particles. First we look into some exact static
and stationary solutions with and without cosmological constant. Next we study
the polygon ap... | hep-th |
Topologically Massive Spin-1 Particles and Spin-Dependent Potentials: We investigate the role played by particular field representations of an
intermediate massive spin-1 boson in the context of spin-dependent
interparticle potentials between fermionic sources in the limit of low momentum
transfer. The comparison betwe... | hep-th |
Matrix Model Description of Laughlin Hall States: We analyze Susskind's proposal of applying the non-commutative Chern-Simons
theory to the quantum Hall effect. We study the corresponding regularized
matrix Chern-Simons theory introduced by Polychronakos. We use holomorphic
quantization and perform a change of matrix v... | hep-th |
Spin-Statistics for Black Hole Microstates: The gravitational path integral can be used to compute the number of black
hole states for a given energy window, or the free energy in a thermal
ensemble. In this article we explain how to use the gravitational path integral
to compute the separate number of bosonic and ferm... | hep-th |
Duality between the massive sine-Gordon and the massive Schwinger models
at finite temperature: The massive Schwinger and the massive sine-Gordon models are proved to be
equivalent at finite temperature, using the path-integral framework. The well
known relations among the parameters of these models to establish the ... | hep-th |
$L_\infty$-Algebras, the BV Formalism, and Classical Fields: We summarise some of our recent works on $L_\infty$-algebras and quasi-groups
with regard to higher principal bundles and their applications in twistor
theory and gauge theory. In particular, after a lightning review of
$L_\infty$-algebras, we discuss their M... | hep-th |
Parity realization in Vector-like theories from Fermion Bilinears: We reconsider in this paper the old aim of trying to understand if the
observed realization of discrete symmetries as Parity or CP in the QCD vacuum
can be satisfied from first principles. We show how under the appropriate
assumptions implicitely done b... | hep-th |
Unitary Realizations of U-duality Groups as Conformal and Quasiconformal
Groups and Extremal Black Holes of Supergravity Theories: We review the current status of the construction of unitary representations
of U-duality groups of supergravity theories in five, four and three
dimensions. We focus mainly on the maximal... | hep-th |
Positivity, negativity, and entanglement: We explore properties of the universal terms in the entanglement entropy and
logarithmic negativity in 4d CFTs, aiming to clarify the ways in which they
behave like the analogous entanglement measures in quantum mechanics. We show
that, unlike entanglement entropy in finite-dim... | hep-th |
BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic
Symmetries: The asymptotic group of symmetries at null infinity of flat spacetimes in
three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS)
group. This has recently been shown to be isomorphic to non-relativistic
conformal alg... | hep-th |
Lagrange Multiplier Modified Horava-Lifshitz Gravity: We consider RFDiff invariant Horava-Lifshitz gravity action with additional
Lagrange multiplier term that is a function of scalar curvature. We find its
Hamiltonian formulation and we show that the constraint structure implies the
same number of physical degrees of ... | hep-th |
The Holomorphic Anomaly of Topological Strings: We show that the BRS operator of the topological string B model is not
holomorphic in the complex structure of the target space. This implies that the
so-called holomorphic anomaly of topological strings should not be interpreted
as a BRS anomaly. | hep-th |
Thermal Dark Energy: We present a novel source of dark energy, which is motivated by the
prevalence of hidden sectors in string theory models and is consistent with all
of the proposed swampland conjectures. Thermal effects hold a light hidden
sector scalar at a point in field space that is not a minimum of its zero
te... | hep-th |
Bit threads and holographic entanglement: The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region
in a holographic theory to the area of a corresponding bulk minimal surface.
Using the max flow-min cut principle, a theorem from network theory, we rewrite
the RT formula in a way that does not make r... | hep-th |
Neutrino mixing and cosmological constant: We report on the recent result that the non--perturbative vacuum structure
associated with neutrino mixing leads to a non--zero contribution to the value
of the cosmological constant. Its value is estimated by using the natural
cut--off appearing in the quantum field theory fo... | hep-th |
Bogoliubov Renormalization Group and Symmetry of Solution in
Mathematical Physics: Evolution of the concept known in the theoretical physics as the
Renormalization Group (RG) is presented. The corresponding symmetry, that has
been first introduced in QFT in mid-fifties, is a continuous symmetry of a
solution with res... | hep-th |
The GUP and quantum Raychaudhuri equation: In this paper, we compare the quantum corrections to the Schwarzschild black
hole temperature due to quadratic and linear-quadratic generalized uncertainty
principle, with the corrections from the quantum Raychaudhuri equation. The
reason for this comparison is to connect the ... | hep-th |
Enhanced Gauge Symmetry in Type II String Theory: We show how enhanced gauge symmetry in type II string theory compactified on
a Calabi--Yau threefold arises from singularities in the geometry of the target
space. When the target space of the type IIA string acquires a genus $g$ curve
$C$ of $A_{N-1}$ singularities, we... | hep-th |
Derivative self-interactions for a massive vector field: In this work we revisit the construction of theories for a massive vector
field with derivative self-interactions such that only the 3 desired
polarizations corresponding to a Proca field propagate. We start from the
decoupling limit by constructing healthy inter... | hep-th |
The double cone geometry is stable to brane nucleation: In gauge/gravity duality, the bulk double cone geometry has been argued to
account for a key feature of the spectral form factor known as the ramp. This
feature is deeply associated with quantum chaos in the dual field theory. The
connection with the ramp has been... | hep-th |
Flow of shear response functions in hyperscaling violating Lifshitz
theories: We study the flow equations of the shear response functions for hyperscaling
violating Lifshitz (hvLif) theories, with Lifshitz and hyperscaling violating
exponents $z$ and $\theta$. Adapting the membrane paradigm approach of
analysing resp... | hep-th |
θ-angle monodromy in two dimensions: "\theta-angle monodromy" occurs when a theory possesses a landscape of
metastable vacua which reshuffle as one shifts a periodic coupling \theta by a
single period. "Axion monodromy" models arise when this parameter is promoted
to a dynamical pseudoscalar field. This paper studies t... | hep-th |
The Universe as a Nonuniform Lattice in the Finite-Dimensional Hypercube
II.Simple Cases of Symmetry Breakdown and Restoration: This paper continues a study of field theories specified for the nonuniform
lattice in the finite-dimensional hypercube with the use of the earlier
described deformation parameters. The pape... | hep-th |
Monopole-fermion scattering and varying Fock space: We propose a four-dimensional interpretation of the outgoing state of the
scattering of a massless fermion off a Dirac monopole. It has been known that
such a state has fractional fermion numbers and is necessarily outside the Fock
space on top of ordinary perturbativ... | hep-th |
Topologically massive gravity and complex Chern-Simons terms: This paper is withdrawn because its results have been previously reported in
arxiv hep-th/0507200. | hep-th |
Entropic destruction of heavy quarkonium in non-Abelian plasma from
holography: Lattice QCD indicates a large amount of entropy associated with the heavy
quark-antiquark pair immersed in the quark-gluon plasma. This entropy grows as
a function of the inter-quark distance giving rise to an entropic force that
can be v... | hep-th |
Perturbative instabilities in Horava gravity: We investigate the scalar and tensor perturbations in Horava gravity, with
and without detailed balance, around a flat background. Once both types of
perturbations are taken into account, it is revealed that the theory is plagued
by ghost-like scalar instabilities in the ra... | hep-th |
Lattice W algebras and quantum groups: We represent Feigin's construction [11] of lattice W algebras and give some
simple results: lattice Virasoro and $W_3$ algebras. For simplest case
$g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We
find simplest two-dimensional module as well as exchange r... | hep-th |
Galilean Conformal Electrodynamics: Maxwell's Electrodynamics admits two distinct Galilean limits called the
Electric and Magnetic limits. We show that the equations of motion in both
these limits are invariant under the Galilean Conformal Algebra in D=4, thereby
exhibiting non-relativistic conformal symmetries. Remark... | hep-th |
BPS Boojums in N=2 supersymmetric gauge theories II: We continue our study of 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite
solitons of vortex strings, domain walls and boojums in N=2 supersymmetric
Abelian gauge theories in four dimensions. In this work, we numerically confirm
that a boojum appearing at an end po... | hep-th |
Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex: In the eighties, Berends, Burgers and van Dam (BBvD) found a nonabelian cubic
vertex for self-interacting massless fields of spin three in flat spacetime.
However, they also found that this deformation is inconsistent at higher order
for any multiplet of ... | hep-th |
Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double
Copy: Using the double-copy construction of Yang-Mills-Einstein theories formulated
in our earlier work, we obtain compact presentations for single-trace
Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an
arbitrary number ... | hep-th |
Analytical study of superradiant instability for five-dimensional
Kerr-Gödel black hole: We present an analytical study of superradiant instability of rotating
asymptotically G\"{o}del black hole (Kerr-G\"{o}del black hole) in
five-dimensional minimal supergravity theory. By employing the matched
asymptotic expansion... | hep-th |
A differential-geometry approach to operator mixing in massless QCD-like
theories and Poincaré-Dulac theorem: We review recent progress on operator mixing in the light of the theory of
canonical forms for linear systems of differential equations and, in
particular, of the Poincar\'e-Dulac theorem. We show that the ma... | hep-th |
Scaling Exponents for Lattice Quantum Gravity in Four Dimensions: In this work nonperturbative aspects of quantum gravity are investigated
using the lattice formulation, and some new results are presented for critical
exponents, amplitudes and invariant correlation functions. Values for the
universal scaling dimensions... | hep-th |
Comment on `Index-free Heat Kernel Coefficients': The article by Anton E. M. van de Ven, Class. Quantum Grav. \textbf{15}
(1998), is one of the fundamental references for higher-order heat kernel
coefficients in curved backgrounds and with non-abelian gauge connections. In
this manuscript, we point out two errors and a... | hep-th |
Conformal Symmetry, Rindler Space and The AdS/CFT Correspondence: Field theories in black hole spacetimes undergo dimensional reduction near
horizon (in the Rindler limit) to two dimensional conformal field theories. We
investigate this enhancement of symmetries in the context of gauge/gravity
duality by considering Ri... | hep-th |
Optics, Mechanics and Quantization of Reparametrization Systems: In this paper we regard the dynamics obtained from Fermat principle as begin
the classical theory of light. We (first-)quantize the action and show how
close we can get to the Maxwell theory. We show that Quantum Geometric Optics
is not a theory of fields... | hep-th |
Do the gravitational corrections to the beta functions of the quartic
and Yukawa couplings have an intrinsic physical meaning?: We study the beta functions of the quartic and Yukawa couplings of General
Relativity and Unimodular Gravity coupled to the $\lambda\phi^4$ and Yukawa
theories with masses. We show that the ... | hep-th |
Flat space (higher spin) gravity with chemical potentials: We introduce flat space spin-3 gravity in the presence of chemical potentials
and discuss some applications to flat space cosmology solutions, their entropy,
free energy and flat space orbifold singularity resolution. Our results include
flat space Einstein gra... | hep-th |
Relative scale separation in orbifolds of $S^2$ and $S^5$: In orbifold vacua containing an $S^q/\Gamma$ factor, we compute the relative
order of scale separation, $r$, defined as the ratio of the eigenvalue of the
lowest-lying $\Gamma$-invariant state of the scalar Laplacian on $S^q$, to the
eigenvalue of the lowest-ly... | hep-th |
Special holonomy sigma models with boundaries: A study of (1,1) supersymmetric two-dimensional non-linear sigma models with
boundary on special holonomy target spaces is presented. In particular, the
consistency of the boundary conditions under the various symmetries is studied.
Models both with and without torsion are... | hep-th |
Further comments on BPS systems: We look at BPS systems involving two interacting Sine-Gordon like fields both
when one of them has a kink solution and the second one either a kink or an
antikink solution. The interaction between the two fields is controlled by a
parameter $\lambda$ which has to satisfy $| \lambda|< 2$... | hep-th |
Nonlinear Fluid Dynamics from Gravity: Black branes in AdS5 appear in a four parameter family labeled by their
velocity and temperature. Promoting these parameters to Goldstone modes or
collective coordinate fields -- arbitrary functions of the coordinates on the
boundary of AdS5 -- we use Einstein's equations together... | hep-th |
The periodic sl(2|1) alternating spin chain and its continuum limit as a
bulk Logarithmic Conformal Field Theory at c=0: The periodic sl(2|1) alternating spin chain encodes (some of) the properties
of hulls of percolation clusters, and is described in the continuum limit by a
logarithmic conformal field theory (LCFT)... | hep-th |
Teleparallel Geroch geometry: We construct the teleparallel dynamics for extended geometry where the
structure algebra is (an extension of) an untwisted affine Kac-Moody algebra.
This provides a geometrisation of the Geroch symmetry appearing on dimensional
reduction of a gravitational theory to two dimensions. The for... | hep-th |
Shadow multiplets and superHiggs mechanism: We discuss a general feature of Freund Rubin compactifications that was
previously overlooked. It consist in a curious pairing, which we call a shadow
relation, of completely different (in terms of spin and mass) fields of the
dimensionally reduced theory. Particularly intere... | hep-th |
The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories: We consider N = 3 supersymmetric Chern-Simons gauge theories with product
unitary and orthosymplectic groups and bifundamental and fundamental fields. We
study the partition functions on an S^3 by using the Kapustin-Willett-Yaakov
matrix model. The... | hep-th |
High temperature asymptotics of thermodynamic functions of
electromagnetic field subjected to boundary conditions on a sphere and
cylinder: The high temperature asymptotics of thermodynamic functions of
electromagnetic field subjected to boundary conditions with spherical and
cylindrical symmetries are constructed ... | hep-th |
Banana integrals in configuration space: We reconsider the computation of banana integrals at different loops, by
working in the configuration space, in any dimension. We show how the 2-loop
banana integral can be computed directly from the configuration space
representation, without the need to resort to differential ... | hep-th |
Oscillators from nonlinear realizations: We construct the systems of the harmonic and Pais-Uhlenbeck oscillators,
which are invariant with respect to arbitrary noncompact Lie algebras. The
equations of motion of these systems can be obtained with the help of the
formalism of nonlinear realizations. We prove that it is ... | hep-th |
Self-dual solutions of a field theory model of two linked rings: In this work the connection established in [7, 8] between a model of two
linked polymers rings with fixed Gaussian linking number forming a 4-plat and
the statistical mechanics of non-relativistic anyon particles is explored. The
excluded volume interacti... | hep-th |
Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x
S5 superstrings: We construct supergravity backgrounds for the integrable eta-deformations of
the AdS2 x S2 x T6 and AdS5 x S5 superstring sigma models. The eta-deformation
is governed by an R-matrix that solves the non-split modified classical
Ya... | hep-th |
11d Electric-Magnetic Duality and the Dbrane Spectrum: We consider the gedanken calculation of the pair correlation function of
spatially-separated macroscopic string solitons in strongly coupled type IIA
string/M theory, with the macroscopic strings wrapping the eleventh dimension.
The supergravity limit of this corre... | hep-th |
Remarks on the harmonic oscillator with a minimal position uncertainty: We show that this problem gives rise to the same differential equation of a
well known potential of ordinary quantum mechanics. However there is a subtle
difference in the choice of the parameters of the hypergeometric function
solving the differen... | hep-th |
On first order formulations of supergravities: Supergravities are usually presented in a so-called 1.5 order formulation.
Here we present a general scheme to derive pure 1^{st} order formulations of
supergravities from the 1.5 order ones. The example of N_4=1 supergravity will
be rederived and new results for N_4=2 and... | hep-th |
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