text stringlengths 89 2.49k | category stringclasses 19
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Bootstrapping 2D CFTs in the Semiclassical Limit: We study two dimensional conformal field theories in the semiclassical limit.
In this limit, the four-point function is dominated by intermediate primaries
of particular weights along with their descendants, and the crossing equations
simplify drastically. For a four-po... | hep-th |
Geometric Aspects of the `Deformation Method': At the classical level, redefinitions of the field content of a Lagrangian
allow to rewrite an interacting model on a flat target space, in the form of a
free field model (no potential term) on a curved target space. In the present
work we extend the idea of the `deformati... | hep-th |
Quantized Einstein-Rosen waves, AdS_2, and spontaneous symmetry breaking: 4D cylindrical gravitational waves with aligned polarizations (Einstein-Rosen
waves) are shown to be described by a weight 1/2 massive free field on the
double cover of AdS_2. Thorn's C-energy is one of the sl(2,R) generators, the
reconstruction ... | hep-th |
Excitations in Hot Non-Commutative Theories: We study the dispersion relation for scalar excitations in supersymmetric,
non-commutative theories at finite temperature. In N=4 Yang-Mills the low
momenta modes have superluminous group velocity. In the massless Wess-Zumino
model the minimum of the dispersion relation is a... | hep-th |
Primordial Black Hole Pair Creation Probability in Modified
Gravitational Theory: The probability for quantum creation of an inflationary universe with a pair
of black holes is computed in a modified gravitational theory. Considering a
gravitational action which includes a cosmological constant ($\Lambda$) in
additio... | hep-th |
Exactly solvable potentials of Calogero type for q-deformed Coxeter
groups: We establish that by parameterizing the configuration space of a
one-dimensional quantum system by polynomial invariants of q-deformed Coxeter
groups it is possible to construct exactly solvable models of Calogero type. We
adopt the previousl... | hep-th |
Closed-form expression for cross-channel conformal blocks near the
lightcone: In the study of conformal field theories, conformal blocks in the lightcone
limit are fundamental to the analytic conformal bootstrap method. Here we
consider the lightcone limit of 4-point functions of generic scalar primaries.
Based on th... | hep-th |
Master Ward Identity for Nonlocal Symmetries in D=2 Principal Chiral
Models: We derive, in path integral approach, the (anomalous) master Ward identity
associated with an infinite set of nonlocal conservation laws in
two-dimensional principal chiral models | hep-th |
Gauging spacetime inversions in quantum gravity: Spacetime inversion symmetries such as parity and time reversal play a
central role in physics, but they are usually treated as global symmetries. In
quantum gravity there are no global symmetries, so any spacetime inversion
symmetries must be gauge symmetries. In partic... | hep-th |
Semiclassical partition function for strings dual to Wilson loops with
small cusps in ABJM: We compute the 1-loop partition function for strings in
$AdS_4\times\mathbb{CP}^3$, whose worldsheets end along a line with small cusp
angles in the boundary of AdS. We obtain these 1-loop results in terms of the
vacuum energy... | hep-th |
Abrikosov String in N=2 Supersymmetric QED: We study the Abrikosov-Nielsen-Olesen string in N=2 supersymmetric QED with
N=2-preserving superpotential, in which case the Abrikosov string is found to
be 1/2-BPS saturated. Adding a quadratic small perturbation in the
superpotential breaks N=2 supersymmetry to N=1 supersym... | hep-th |
Quasimodular instanton partition function and the elliptic solution of
Korteweg-de Vries equations: The Gauge/Bethe correspondence relates Omega-deformed N=2 supersymmetric
gauge theories to some quantum integrable models, in simple cases the
integrable models can be treated as solvable quantum mechanics models. For
... | hep-th |
Erasure of Strings and Vortexes: The interaction of defects can lead to a phenomenon of erasure. During this
process, a lower-dimensional object gets absorbed and dissolved by a
higher-dimensional one. The phenomenon is very general and has a wide range of
implications, both cosmological and fundamental. In particular,... | hep-th |
Subleading-color contributions to gluon-gluon scattering in N=4 SYM
theory and relations to N=8 supergravity: We study the subleading-color (nonplanar) contributions to the four-gluon
scattering amplitudes in N=4 supersymmetric SU(N) Yang-Mills theory. Using the
formalisms of Catani and of Sterman and Tejeda-Yeomans,... | hep-th |
Lorentz-violating Chern-Simons action under high temperature in massless
QED: Lorentz and CPT violating QED with massless fermions at finite temperature is
studied. We show that there is no ambiguity in the induced coefficient of the
Chern-Simons-like term that defines the so-called Carroll-Field-Jackiw model at
high... | hep-th |
Null Vectors in Logarithmic Conformal Field Theory: The representation theory of the Virasoro algebra in the case of a
logarithmic conformal field theory is considered. Here, indecomposable
representations have to be taken into account, which has many interesting
consequences. We study the generalization of null vector... | hep-th |
Patterns of gauge symmetry in the background field method: The correlation functions of Yang-Mills theories formulated in the background
field method satisfy linear Slavnov-Taylor identities, which are naive
generalizations of simple tree level relations, with no deformations
originating from the ghost sector of the th... | hep-th |
Dynamical realizations of l-conformal Newton-Hooke group: The method of nonlinear realizations and the technique previously developed
in arXiv:1208.1403 are used to construct a dynamical system without higher
derivative terms, which holds invariant under the l-conformal Newton-Hooke
group. A configuration space of the ... | hep-th |
Yang-Mills and Born-Infeld actions on finite group spaces: Discretized nonabelian gauge theories living on finite group spaces G are
defined by means of a geometric action \int Tr F\wedge *F . This technique is
extended to obtain a discrete version of the Born-Infeld action. | hep-th |
Quasi-normal modes of dyonic black holes and magneto-hydrodynamics: We revisit the magneto-hydrodynamics in (2+1) dimensions and confirm that it
is consistent with the quasi-normal modes of the (3+1) dimensional dyonic black
holes in the most general set-up with finite density, magnetic field and wave
vector. We invest... | hep-th |
Statical Structures of the BCS-like Holographic Superfluid in AdS4
Spacetime: We investigate in detail the m^{2}=0 Abelian Higgs model in AdS4, which is
considered as the holographic dual of the most BCS-like superfluid. In
homogeneous and isotropic superfluid solutions, we calculate the sound speeds,
square of which... | hep-th |
A paucity of bulk entangling surfaces: AdS wormholes with de Sitter
interiors: We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying
the null energy condition and having two asymptotically AdS boundaries
connected through a (non-traversable) inflating wormhole. As for other
wormholes, it is na... | hep-th |
Cosmological String Backgrounds from Gauged WZW Models: We discuss the four-dimensional target-space interpretation of bosonic
strings based on gauged WZW models, in particular of those based on the
non-compact coset space $SL(2,{\bf R})\times SO(1,1)^2 /SO(1,1)$. We show that
these theories lead, apart from the recent... | hep-th |
Renormalization Group Flows on D3 branes at an Orbifolded Conifold: We consider D3-branes at an orbifolded conifold whose horizon ${X_5}$
resolves into a smooth Einstein manifold which joins several copies of ${\bf
T}^{1,1}$. We describe in details the resolution of the singular horizon
${X_5}$ and describe different t... | hep-th |
An upper bound on transport: The linear growth of operators in local quantum systems leads to an effective
lightcone even if the system is non-relativistic. We show that consistency of
diffusive transport with this lightcone places an upper bound on the
diffusivity: $D \lesssim v^2 \tau_\text{eq}$. The operator growth ... | hep-th |
EFT and the SUSY Index on the 2nd Sheet: The counting of BPS states in four-dimensional ${\cal N}=1$ theories has
attracted a lot of attention in recent years. For superconformal theories,
these states are in one-to-one correspondence with local operators in various
short representations. The generating function for th... | hep-th |
TCFHs, IIB warped AdS backgrounds and hidden symmetries: We present the twisted covariant form hierarchies (TCFHs) on the internal
spaces of all type IIB warped AdS backgrounds. As a result we demonstrate that
the form bilinears on the internal spaces satisfy a generalisation of the
conformal Killing-Yano equation. We ... | hep-th |
Quantizations of D=3 Lorentz symmetry: Using the isomorphism
$\mathfrak{o}(3;\mathbb{C})\simeq\mathfrak{sl}(2;\mathbb{C})$ we develop a new
simple algebraic technique for complete classification of quantum deformations
(the classical $r$-matrices) for real forms $\mathfrak{o}(3)$ and
$\mathfrak{o}(2,1)$ of the complex ... | hep-th |
Is dark energy from cosmic Hawking radiation?: It is suggested that dark energy is the energy of the Hawking radiation from
a cosmic horizon. Despite of its extremely low Gibbons-Hawking temperature,
this radiation could have the appropriate magnitude $O(M_P^2 H^2)$ and the
equation of state to explain the observed cos... | hep-th |
Excitation Spectra of Spin Models constructed from Quantized Affine
Algebras of type $B_n^{(1)}$, $D_n^{(1)}$: The energy and momentum spectrum of the spin models constructed from the
vector representation of the quantized affine algebras of type $\B$ and $\D$
are computed using the approach of Davies et al. \cite{DF... | hep-th |
Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets,
Green's Functions, and a Supersymmetric Proof of the Index Theorem: The Peierls bracket quantization scheme is applied to the supersymmetric
system corresponding to the twisted spin index theorem. A detailed study of the
quantum system is presente... | hep-th |
Shifted Homotopy Analysis of the Linearized Higher-Spin Equations in
Arbitrary Higher-Spin Background: Analysis of the first-order corrections to higher-spin equations is extended
to homotopy operators involving shift parameters with respect to the spinor $Y$
variables, the argument of the higher-spin connection $\om... | hep-th |
Nilpotent Spinor Symmetry with Interacting Spin 3/2 Field: Consistent interactions of spin 3/2 field that realize a nilpotent spinorial
symmetry are presented. Based on our previous results on purely bosonic
non-Abelian tensor with consistent interactions, we present a new system for
interacting spin 3/2 field that rea... | hep-th |
Positivity bounds on effective field theories with spontaneously broken
Lorentz invariance: We derive positivity bounds on EFT coefficients in theories where boosts are
spontaneously broken. We employ the analytic properties of the retarded Green's
function of conserved currents (or of the stress-energy tensor) and a... | hep-th |
Derivation of theories: structures of the derived system in terms of
those of the original system in classical mechanics: We present the technique of derivation of a theory to obtain an
$(n+1)f$-degrees-of-freedom theory from an $f$-degrees-of-freedom theory and
show that one can calculate all of the quantities of th... | hep-th |
Revisiting toric SU(3) structures: Three-dimensional smooth compact toric varieties (SCTV) admit SU(3)
structures, and may thus be relevant for string compactifications, if they have
even first Chern class (c1). This condition can be fulfilled by infinitely many
SCTVs, including CP3 and CP1 bundles over all two-dimensi... | hep-th |
UV-finite scalar field theory with unitarity: In this paper we show how to define the UV completion of a scalar field
theory such that it is both UV-finite and perturbatively unitary. In the UV
completed theory, the propagator is an infinite sum of ordinary propagators. To
eliminate the UV divergences, we choose the co... | hep-th |
2-Group Symmetries and their Classification in 6d: We uncover 2-group symmetries in 6d superconformal field theories. These
symmetries arise when the discrete 1-form symmetry and continuous flavor
symmetry group of a theory mix with each other. We classify all 6d
superconformal field theories with such 2-group symmetri... | hep-th |
The spectral problem of the ABJ Fermi gas: The partition function on the three-sphere of ABJ theory can be rewritten
into a partition function of a non-interacting Fermi gas, with an accompanying
one-particle Hamiltonian. We study the spectral problem defined by this
Hamiltonian. We determine the exact WKB quantization... | hep-th |
Partial duality in SU(N) Yang-Mills theory: Recently we have proposed a set of variables for describing the infrared
limit of four dimensional SU(2) Yang-Mills theory. here we extend these
variables to the general case of four dimensional SU(N) Yang-Mills theory. We
find that the SU(N) connection A decomposes according... | hep-th |
Regge trajectories of the charged string in a magnetic background: The set of Casimir operators associated with the global symmetries of a
charged string in a constant magnetic background are found. It is shown that
the string rest energy can be expressed as a combination of these invariants.
Using this result, the Reg... | hep-th |
Nonlinear ${\cal N}=2$ Supersymmetry and 3D Supersymmetric Born-Infeld
Theory: D$p$-branes acquire effective nonlinear descriptions whose bosonic part is
related to the Born-Infeld action. This nonlinearity has been proven to be a
consequence of the partial ${\cal N}=2\to{\cal N}=1$ supersymmetry breaking,
originatin... | hep-th |
Two-charge rotating black holes in four-dimensional gauged supergravity: We obtain an asymptotically AdS, non-extremal, electrically charged and
rotating black hole solution of 4-dimensional U(1)^4 gauged supergravity with 2
non-zero and independent U(1) charges. The thermodynamical quantities are
computed. We find BPS... | hep-th |
Toroidal Compactification Without Vector Structure: Many important ideas about string duality that appear in conventional $\T^2$
compactification have analogs for $\T^2$ compactification without vector
structure. We analyze some of these issues and show, in particular, how
orientifold planes associated with $Sp(n)$ gau... | hep-th |
Boundary K-matrix for the quantum Mikhailov-Shabat model: ( We present complete solutions of $K$-matrix for the quantum
Mikhailov-Shabat model. It has been known that there are three diagonal
solutions with no free parameters, one being trivial identity solution, the
others non-trivial. The most general solutions which... | hep-th |
Massive Spin-2 Scattering and Asymptotic Superluminality: We place model-independent constraints on theories of massive spin-2
particles by considering the positivity of the phase shift in eikonal
scattering. The phase shift is an asymptotic $S$-matrix observable, related to
the time delay/advance experienced by a part... | hep-th |
Off-shell unimodular N=1, d=4 supergravity: We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that
the infinitesimal Grassmann parameters defining the unimodular supergravity
transformations are constrained and show that the conmutator of two
infinitesinal unimodular supergravity transformations ... | hep-th |
The Concept of Particle Weights in Local Quantum Field Theory: The concept of particle weights has been introduced by Buchholz and the
author in order to obtain a unified treatment of particles as well as (charged)
infraparticles which do not permit a definition of mass and spin according to
Wigner's theory. Particle w... | hep-th |
BV-Structure of the Cohomology of Nilpotent Subalgebras and the Geometry
of (W-) Strings: Given a simple, simply laced, complex Lie algebra $\bfg$ corresponding to the
Lie group $G$, let $\bfnp$ be the subalgebra generated by the positive roots.
In this paper we construct a BV-algebra $\fA[\bfg]$ whose underlying gra... | hep-th |
Correlation functions on a curved background: We investigate gravitational correlation functions in a curved background
with the help of nonperturbative renormalization group methods. Beta functions
for eleven couplings are derived, two of which correspond to running gauge
parameters. A unique ultraviolet fixed point i... | hep-th |
Multidimensional Dirac strings and the Witten index of SYMCS theories
with groups of higher rank: We discuss generalized Dirac strings associated with a given Lie group. They
live in r-dimensional complex space (r being the rank of the group). Such
strings show up in the effective Born-Oppenheimer Hamiltonian for 3d
... | hep-th |
Witten Diagrams for Torus Conformal Blocks: We give a holographic description of global conformal blocks in two
dimensional conformal field theory on the sphere and on the torus. We show that
the conformal blocks for one-point functions on the torus can be written as
Witten diagrams in thermal AdS. This is accomplished... | hep-th |
Solutions of massive gravity theories in constant scalar invariant
geometries: We solve massive gravity field equations in the framework of locally
homogenous and vanishing scalar invariant (VSI) Lorentzian spacetimes, which in
three dimensions are the building blocks of constant scalar invariant (CSI)
spacetimes. At... | hep-th |
Fractional space-like branes: We discuss construction and applications of instanton-like objects which we
call fractional space-like branes. These objects are localised at a fixed point
of a time-like (or more generally space-time) orbifold which is a string
theoretical toy model of a cosmological singularity. We formu... | hep-th |
Fermionic quantization of Hopf solitons: In this paper we show how to quantize Hopf solitons using the
Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if
their Hopf charge is odd. Symmetries of classical minimal energy configurations
induce loops in configuration space which give rise to con... | hep-th |
Some aspects of self-duality and generalised BPS theories: If a scalar field theory in (1+1) dimensions possesses soliton solutions
obeying first order BPS equations, then, in general, it is possible to find an
infinite number of related field theories with BPS solitons which obey closely
related BPS equations. We poin... | hep-th |
Symmetry Breaking in Coupled SYK or Tensor Models: We study a large $N$ tensor model with $O(N)^3$ symmetry containing two
flavors of Majorana fermions, $\psi_1^{abc}$ and $\psi_2^{abc}$. We also study
its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each
one containing $N_{\rm SYK}$ Majorana ... | hep-th |
Axion Inflation in Type II String Theory: Inflationary models driven by a large number of axion fields are discussed in
the context of type IIB compactifications with N=1 supersymmetry. The inflatons
arise as the scalar modes of the R-R two-forms evaluated on vanishing
two-cycles in the compact geometry. The vanishing ... | hep-th |
Exact partition functions for the $Ω$-deformed $\mathcal N=2^{*}$
$SU(2)$ gauge theory: We study the low energy effective action of the $\Omega$-deformed $\mathcal N
=2^{*}$ $SU(2) $ gauge theory. It depends on the deformation parameters
$\epsilon_{1},\epsilon_{2}$, the scalar field expectation value $a$, and the
hyp... | hep-th |
Superstrings on AdS3 at k=1: We study superstring theory in three dimensional Anti-de Sitter spacetime
with NS-NS flux, focusing on the case where the radius of curvature is equal to
the string length. This corresponds to the critical level k=1 in the
Wess-Zumino-Witten description. Previously, it was argued that a tra... | hep-th |
Quantum Wilson surfaces and topological interactions: We introduce the description of a Wilson surface as a 2-dimensional
topological quantum field theory with a 1-dimensional Hilbert space. On a
closed surface, the Wilson surface theory defines a topological invariant of
the principal $G$-bundle $P \to \Sigma$. Intere... | hep-th |
Role of Various Entropies in the Black Hole Information Loss Problem: In a recent paper Hawking has argued that there is no information loss in
black holes in asymptotically AdS spacetimes. We remind that there are several
types of information (entropy) in statistical physics -- fine grained
(microscopic) and coarse gr... | hep-th |
Computation of D-brane instanton induced superpotential couplings -
Majorana masses from string theory: We perform a detailed conformal field theory analysis of D2-brane instanton
effects in four-dimensional type IIA string vacua with intersecting D6-branes.
In particular, we explicitly compute instanton induced ferm... | hep-th |
Quantum Fluctuations of Effective Fields and the Correspondence
Principle: The question of Bohr correspondence in quantum field theory is considered
from a dynamical point of view. It is shown that the classical description of
particle interactions is inapplicable even in the limit of large particles'
masses because ... | hep-th |
The Role of Conformal Symmetry in Abelian Bosonization of the Massive
Thirring Model: We show equivalence between the massive Thirring model and the sine-Gordon
theory by gauge fixing a wider gauge invariant theory in two different ways.
The exact derivation of the equivalence hinges on the existence of an
underlying... | hep-th |
The Local Structure of Anomaly Inflow: Anomaly cancellation for M-theory fivebranes requires the introduction of a
"bump-form" which smoothes out the five-brane source. We discuss the physical
origin of this bump-form in the simpler case of axion strings in 3+1 dimensions
and construct it in terms of the radial profile... | hep-th |
Crystal bases and three-dimensional $ \mathcal{N}=4 $ Coulomb branches: We establish and develop a correspondence between certain crystal bases
(Kashiwara crystals) and the Coulomb branch of three-dimensional $ \mathcal{N}
=4 $ gauge theories. The result holds for simply-laced, non-simply laced and
affine quivers. Two ... | hep-th |
Consistent boundary conditions for cosmological topologically massive
gravity at the chiral point: We show that cosmological topologically massive gravity at the chiral point
allows not only Brown-Henneaux boundary conditions as consistent boundary
conditions, but slightly more general ones which encompass the logari... | hep-th |
Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy
and Full Counting Statistics: We consider the symmetry-resolved R\'{e}nyi and entanglement entropies for
two-dimensional conformal field theories on a circle at nonzero temperature. We
assume a unique ground state with a nonzero mass gap induced ... | hep-th |
Nonextremal black holes in gauged supergravity and the real formulation
of special geometry II: In arXiv:1207.2679 a new prescription for finding nonextremal black hole
solutions to N=2, D=4 Fayet-Iliopoulos gauged supergravity was presented, and
explicit solutions of various models containing one vector multiplet we... | hep-th |
Domain Walls and Decay Rate of the Excited Vacua in the Large N
Yang-Mills Theory: In the (non-supersymmetric) Yang-Mills theory in the large N limit there
exists an infinite set of non-degenerate vacua. The distinct vacua are
separated by domain walls whose tension determines the decay rate of the false
vacua. I dis... | hep-th |
On the Geometry on Antisymmetric Fields: The geometry of antisymmetric fields with nontrivial transitions over a base
manifold is described in terms of exact sequences of cohomology groups. This
formulation leads naturally to the appearance of nontrivial topological charges
associated to the periods of the curvature of... | hep-th |
Equivalence of A-Maximization and Volume Minimization: The low energy effective theory on a stack of D3-branes at a Calabi-Yau
singularity is an $\mathcal{N} = 1$ quiver gauge theory. The AdS/CFT
correspondence predicts that the strong coupling dynamics of the gauge theory
is described by weakly coupled type IIB superg... | hep-th |
AdS twistors for higher spin theory: We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7
from twistors describing massless (super-)particles on AdS spaces. A massless
twistor transform is derived in a geometric way from classical kinematics.
Relaxing the spin-shell constraints on twistor space g... | hep-th |
Derivative Expansion of the Effective Action for QED in 2+1 and 3+1
dimensions: The derivative expansion of the one-loop effective action in QED$_3$ and
QED$_4$ is considered. The first term in such an expansion is the effective
action for a constant electromagnetic field. An explicit expression for the
next term con... | hep-th |
On the Mutual Information in Hawking Radiation: We compute the mutual information of two Hawking particles emitted
consecutively by an evaporating black hole. Following Page, we find that the
mutual information is of order exp(-S) where S is the entropy of the black
hole. We speculate on implications for black hole uni... | hep-th |
On Classical de Sitter Vacua in String Theory: We review the prospect of obtaining tree-level de Sitter (dS) vacua and
slow-roll inflation models in string compactifications. Restricting ourselves
to the closed string sector and assuming the absence of NSNS-sources, we
classify the minimal classical ingredients that ev... | hep-th |
A method for solve integrable $A_2$ spin chains combining different
representations: A non homogeneous spin chain in the representations $ \{3 \}$ and $ \{3^*\}$
of $A_2$ is analyzed. We find that the naive nested Bethe ansatz is not
applicable to this case. A method inspired in the nested Bethe ansatz, that can
be a... | hep-th |
Isotropic Lifshitz Scaling in four dimensions: The presence of isotropic Lifshitz points for a O(N)-symmetric scalar theory
is investigated with the help of the Functional Renormalization Group. In
particular, at the supposed lower critical dimension d=4, evidence for a
continuous line of fixed points is found for the ... | hep-th |
Abelian Zero Modes in Odd Dimensions: We show that the Loss-Yau zero modes of the 3d abelian Dirac operator may be
interpreted in a simple manner in terms of a stereographic projection from a 4d
Dirac operator with a constant field strength of definite helicity. This is an
alternative to the conventional viewpoint invo... | hep-th |
A differential relation between the energy and electric charge of a dyon: The differential relation between the energy and electric charge of a dyon is
derived. The relation expresses the derivative of the energy with respect to
the electric charge in terms of the boundary value for the temporal component
of the dyon's... | hep-th |
RR charges of D2-branes in the WZW model: We consider the contribution of the B-field into the RR charge of a spherical
D2-brane. Extending a recent analysis of Taylor, we show that the boundary and
bulk contributions do not cancel in general. Instead, they add up to an integer
as observed by Stanciu. The general formu... | hep-th |
Topology and geometry of elliptic Feynman amplitudes: We report on the analytic computation of the 2-loop amplitude for Bhabha
scattering in QED. We study the analytic structure of the amplitude, and reveal
its underlying connections to hyperbolic Coxeter groups and arithmetic
geometries of elliptic curves. | hep-th |
The Geometer's Toolkit to String Compactifications: These lecture notes are meant to serve as an introduction to some geometric
constructions and techniques (in particular the ones of toric geometry) often
employed by the physicist working on string theory compactifications. The
emphasis is wholly on the geometry side,... | hep-th |
Exact late time Hawking radiation and the information loss problem for
evaporating near-extremal black holes: In this paper we investigate the effects of gravitational backreaction for
the late time Hawking radiation of evaporating near-extremal black holes. This
problem can be studied within the framework of an effe... | hep-th |
On quantum mechanics as constrained N=2 supersymmetric classical
mechanics: The Schr\"odinger equation is shown to be equivalent to a constrained
Liouville equation under the assumption that phase space is extended to
Grassmann algebra valued variables. For onedimensional systems, the underlying
Hamiltonian dynamics ... | hep-th |
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model: We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to
a zero-dimensional 3-Lie algebra model and construct various stable solutions
corresponding to quantized Nambu-Poisson manifolds. A recently proposed Higgs
mechanism reduces t... | hep-th |
The Lifshitz black branes and DC transport coefficients in massive
Einstein-Maxwell-dilaton gravity: We construct analytical Lifshitz massive black brane solutions in massive
Einstein-Maxwell-dilaton gravity theory. We also study the thermodynamics of
these black brane solutions and obtain the thermodynamical stabili... | hep-th |
S-duality transformation of $\mathcal{N}$ $=4$ SYM theory at the
operator level: We consider the S-duality transformation of gauge invariant operators and
states in $\mathcal{N}$ $=4$ SYM theory. The transformation is realized through
an operator $ S $ which is the $ SL(2,Z) $ canonical transformation in loop
space w... | hep-th |
A finite model of two-dimensional ideal hydrodynamics: A finite-dimensional su($N$) Lie algebra equation is discussed that in the
infinite $N$ limit (giving the area preserving diffeomorphism group) tends to
the two-dimensional, inviscid vorticity equation on the torus. The equation is
numerically integrated, for vario... | hep-th |
Gauge Theory on Twisted $κ$-Minkowski: Old Problems and Possible
Solutions: We review the application of twist deformation formalism and the construction
of noncommutative gauge theory on $\kappa$-Minkowski space-time. We compare two
different types of twists: the Abelian and the Jordanian one. In each case we
provid... | hep-th |
Gauge Symmetry Enhancement by Wilson Lines in Twisted Compactification: We point out a simple realization of gauge symmetry enhancement by Wilson
lines in QFT with twisted compactification in extra dimensions. We illustrate
this in the field contents taken from heterotic supergravity in arbitrary
dimensions toroidally ... | hep-th |
The Seven-sphere and its Kac-Moody Algebra: We investigate the seven-sphere as a group-like manifold and its extension to
a Kac-Moody-like algebra. Covariance properties and tensorial composition of
spinors under $S^7$ are defined. The relation to Malcev algebras is
established. The consequences for octonionic projecti... | hep-th |
Holographic Representation of Local Operators In De Sitter Space: Assuming the existence of the dS/CFT correspondence, we construct local
scalar fields with $m^2>\left( \frac{d}{2} \right)^2$ in de Sitter space by
smearing over conformal field theory operators on the future/past boundary. To
maintain bulk micro-causali... | hep-th |
Exploring the Tensor Networks/AdS Correspondence: In this paper we study the recently proposed tensor networks/AdS
correspondence. We found that the Coxeter group is a useful tool to describe
tensor networks in a negatively curved space. Studying generic tensor network
populated by perfect tensors, we find that the phy... | hep-th |
Spatial correlations of primordial density fluctuations in the standard
cosmological model: We revisit the {\it origin of structures problem} of standard
Friedmann-Robertson-Walker cosmology to point out an unjustified approximation
in the prevalent analysis. We follow common procedures in statistical mechanics
to re... | hep-th |
Faddeev-Jackiw formalism for a topological-like oscillator in planar
dimensions: The problem of a harmonic oscillator coupling to an electromagnetic potential
plus a topological-like (Chern-Simons) massive term, in two-dimensional space,
is studied in the light of the symplectic formalism proposed by Faddeev and
Jack... | hep-th |
Superconformal Sigma Models in Higher Than Two Dimensions: Rigidly superconformal sigma models in higher than two dimensions are
constructed. These models rely on the existence of conformal Killing spinors on
the $p+1$ dimensional worldvolume $(p\le 5)$, and homothetic conformal Killing
vectors in the $d$--dimensional ... | hep-th |
Anisotropic Asymptotics and High Energy Scattering: Recently E.Verlinde and H.Verlinde have suggested an effective
two-dimensional theory describing the high-energy scattering in QCD. In this
report we attempt to clarify some issues of this suggestion. We consider {\it
anisotropic asymptotics} of correlation functions ... | hep-th |
Fermions with spin 1/2 as global SO(3) vortices: In this paper we show that the nontrivial fundamental group $\pi_1 SO(3)
={\Bbb Z}_2$ for the group SO(3) of global proper rotations of a
four-dimensional Euclidian space (when a spin structure is introduced
preliminarily in that space) implies always fermions as global ... | hep-th |
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