Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum

Abstract

In this paper we study the spectrum of bosonic string theory on AdS_3. We study classical solutions of the SL(2,R) WZW model, including solutions for long strings with non-zero winding number. We show that the model has a symmetry relating string configurations with different winding numbers. We then study the Hilbert space of the WZW model, including all states related by the above symmetry. This leads to a precise description of long strings. We prove a no-ghost theorem for all the representations that are involved and discuss the scattering of the long string.

44 pages, 7 figures, LaTeX; minor changes, references added

References in corpus (3)

• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Little String Theory in a Double Scaling Limit
• Comments on Double Scaled Little String Theory

Cited by in corpus (395)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Massless Higher Spins and Holography
• Multi-spin string solutions in AdS_5 x S^5
• Microscopic Formulation of Black Holes in String Theory
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Analytic Continuation of Liouville Theory
• A New Cosmological Scenario in String Theory
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• The Worldsheet Dual of the Symmetric Product CFT
• Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Inside the Horizon with AdS/CFT
• Integrability and the AdS(3)/CFT(2) correspondence
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• From Big Bang to Big Crunch and Beyond
• LSZ in LST
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• H(3)+ correlators from Liouville theory
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Strings on NS-NS Backgrounds as Integrable Deformations
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• Logarithmic Conformal Field Theory: Beyond an Introduction
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• The Schwarzian Theory - A Wilson Line Perspective
• Asymptotically-flat supergravity solutions deep inside the black-hole regime
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Penrose Limit of N=1 Gauge Theories
• A Space-Time Orbifold: A Toy Model for a Cosmological Singularity
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• The non-compact elliptic genus: mock or modular
• Modular Data and Verlinde Formulae for Fractional Level WZW Models I
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Branes in the 2D black hole
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet correlators in AdS(3)/CFT(2)
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Extended BMS Algebra of Celestial CFT
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Towards integrability for AdS3/CFT2
• BPS spectrum on AdS${}_3\times$S${}^3\times$S${}^3\times$S${}^1$
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Boundary States for AdS_2 Branes in AdS_3
• Modular Data and Verlinde Formulae for Fractional Level WZW Models II
• Branes in the Euclidean AdS_3
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• PP-Wave / CFT_2 Duality
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• The WZNW model on PSU(1,1|2)
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Partition functions of the tensionless string
• Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
• Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory
• TsT, $T\bar{T}$ and black strings
• Goedel-type Universes and the Landau Problem
• The su(2)_{-1/2} WZW model and the beta-gamma system
• Crossing Symmetry in the $H_3^{+}$ WZNW model
• Strings in the Extended BTZ Spacetime
• Lectures on Branes in Curved Backgrounds
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Exciting AdS Orbifolds
• Double Field Theory on Group Manifolds
• Notes on Non-Critical Superstrings in Various Dimensions
• General 2 charge geometries
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• String interactions in gravitational wave backgrounds
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• D-branes in N=2 Liouville and its mirror
• The AdS Virasoro-Shapiro Amplitude
• The Silence of the Little Strings
• Higher spins on AdS${}_3$ from the worldsheet
• String Theory on AdS Orbifolds
• Stringy AdS3 from the Worldsheet
• Exact N=4 correlators of AdS(3)/CFT(2)
• Strings on ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Spectral Flow in AdS(3)/CFT(2)
• Strings in homogeneous gravitational waves and null holography
• The Spectrum of Strings on Warped AdS_3 x S^3
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Tweaking one-loop determinants in AdS${}_3$
• String correlators on ${\text{AdS}}_3$: Three-point functions
• Little String Theory and Heterotic/Type II Duality
• Quantum mechanics on noncommutative Riemann surfaces
• Supersymmetric Branes in the Matrix Model of PP Wave Background
• String Theory of Supertubes
• Supersymmetric objects in the M-theory on a pp-wave
• Black Hole Non-Formation in the Matrix Model
• On the tensionless limit of gauged WZW models
• Relaxed highest-weight modules I: rank $1$ cases
• String theory at the tip of the cigar
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Stringy Structure at the BPS Bound
• String dynamics in NS5-F1-P geometries
• On the worldsheet theories of strings dual to free large N gauge theories
• Stringy Horizons II
• Open Strings on AdS_2 Branes
• String scale black holes at large $D$
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• Higher genus correlators for tensionless ${\mathrm{AdS}}_3$ strings
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Three-point functions and operator product expansion in the SL(2) conformal field theory
• The FZZ-Duality Conjecture - A Proof
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Three-point functions in AdS${}_3$/CFT${}_2$ holography
• Relaxed singular vectors, Jack symmetric functions and fractional level $\widehat{\mathfrak{sl}}(2)$ models
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• New Dressing Factors for AdS3/CFT2
• Counting Giant Gravitons in AdS_3
• The Staggered Six-Vertex Model: Conformal Invariance and Corrections to Scaling
• On the Central Charge of Spacetime Current Algebras and Correlators in String Theory on AdS3
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• D-branes and SQCD in Non-Critical Superstring Theory
• String Theory on Warped AdS_3 and Virasoro Resonances
• Fundamental Superstrings as Holograms
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• String Theory on Parallelizable PP-Waves
• Strings in extremal BTZ black holes
• Exact S-matrices for AdS_3/CFT_2
• Supersymmetric Gödel and warped black holes in string theory
• Coulomb integrals for the SL(2,R) WZNW model
• Classical and Quantum Strings in compactified pp-waves and Godel type Universes
• Superspace conformal field theory
• The deformation quantizations of the hyperbolic plane
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• A String Theory Explanation for Quantum Chaos in the Hadronic Spectrum
• Takiff superalgebras and Conformal Field Theory
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Scaling limit of the ${\mathcal{Z}}_2$ invariant inhomogeneous six-vertex model
• Entanglement and chaos in warped conformal field theories
• Supersymmetric Renyi Entropy in $CF{T}_2$ and $Ad{S}_3$
• Amplitudes on plane waves from ambitwistor strings
• Smoothed Transitions in Higher Spin AdS Gravity
• Averaging over moduli in deformed WZW models
• Heating up holography for single-trace $J\bar{T}$ deformations
• D-branes and BCFT in Hpp-wave backgrounds
• Three-point functions in superstring theory on AdS3xS3xT4
• AdS${}_3$ solutions with $\mathcal{N}=(3,0)$ from S${}^3\times$S${}^3$ fibrations
• Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
• Strings in Gravimagnetic Fields
• Boundary States for D-branes in $Ad{S}_3$
• Black hole microstates from the worldsheet
• Spectral Flow in 3D Flat Spacetimes
• Stringy Black Hole Interiors
• Lessons on Black Holes from the Elliptic Genus
• Winding tachyons in asymptotically supersymmetric black strings
• BRST Quantization of String Theory in AdS(3)
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Keeping matter in the loop in dS${}_3$ quantum gravity
• New half supersymmetric solutions of the heterotic string
• Supersymmetry Breaking and Stability in String Vacua: brane dynamics, bubbles and the swampland
• String amplitudes in the Hpp-wave limit of AdS3xS3
• On the Boundary Dynamics of Chern-Simons Gravity
• Winding tachyons in BTZ
• The Stoyanovsky-Ribault-Teschner Map and String Scattering Amplitudes
• An admissible level $\widehat{\mathfrak{osp}}\left(1|2\right)$-model: modular transformations and the Verlinde formula
• BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• The massless string spectrum on AdS_3 x S^3 from the supergroup
• Near-Hagedorn Thermodynamics and Random Walks: a General Formalism in Curved Backgrounds
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Fusion rules and four-point functions in the AdS3 WZNW model
• Worldsheet Correlators in Black Hole Microstates
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• More AdS_3 correlators
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for fermionic strings in AdS(3) x N
• Stringy ER=EPR
• Extremal black holes, Holography & Coarse graining
• Supersymmetric Giant Graviton Solutions in AdS_3
• Thermal AdS(3), BTZ and competing winding modes condensation
• Operator product expansion in SL(2) conformal field theory
• Holography and the Polyakov action
• Massless S matrices for AdS3/CFT2
• On time-dependent AdS/CFT
• On Spectral Flow Symmetry and Knizhnik-Zamolodchikov Equation
• D-branes in Lorentzian AdS(3)
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• The free field realisation of the BVW string
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
• Large Spin Strings in AdS_3
• Winding strings and AdS_3 black holes
• Violating the string winding number maximally in Anti-de Sitter space
• Semiclassical description of D-branes in SL(2)/U(1) gauged WZW model
• On the Relevance of the Thermal Scalar
• Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• Long strings and chiral primaries in the hybrid formalism
• Exact String Solutions in Nontrivial Backgrounds
• The plane-wave spectrum from the worldsheet
• Strings, Symmetric Products, $T\bar{T}$ deformations and Hecke Operators
• Worldsheet computation of heavy-light correlators
• On the scaling behaviour of the alternating spin chain
• Pulsating strings with mixed three-form flux
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Strings in Noncompact Spacetimes: Boundary Terms and Conserved Charges
• Stress-energy tensor correlators from the world-sheet
• A Puncture in the Euclidean Black Hole
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• String Theory: exact solutions, marginal deformations and hyperbolic spaces
• From world-sheet supersymmetry to super target spaces
• Integrable bootstrap for AdS3/CFT2 correlation functions
• The abelian cosets of the Heisenberg group
• The double cone geometry is stable to brane nucleation
• Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
• A proof for string three-point functions in AdS${}_3$
• c < 1 String from Two Dimensional Black Holes
• Four Point Functions in the SL(2,R) WZW Model
• A Note on Black Hole Entropy in Loop Quantum Gravity
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Thermal Correlators in Little String Theory
• New Supergravity Solutions for Branes in AdS_3 x S^3
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• D-branes in 2d Lorentzian black hole
• DDF operators in the Hybrid Formalism
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• The Floquet Baxterisation
• Convexity of Charged Operators in CFTs with Multiple Abelian Symmetries
• Near-Hagedorn Thermodynamics and Random Walks - Extensions and Examples
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Comments on Non-holomorphic Modular Forms and Non-compact Superconformal Field Theories
• Finite size spectrum of the staggered six-vertex model with $U_q(\mathfrak{sl}(2))$-invariant boundary conditions
• Evolution of segmented strings
• Free field realization of superstring theory on AdS3
• Hagedorn Strings and Correspondence Principle in AdS(3)
• Anti-de Sitter D-branes in Curved Backgrounds
• Minisuperspace limit of the AdS3 WZNW model
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• Circular loop operators in conformal field theories
• Cubic Algebraic Equations in Gravity Theory, Parametrization with the Weierstrass Function and Non-Arithmetic Theory of Algebraic Equations
• Three-dimensional black hole entropy
• Massless BTZ black holes in minisuperspace
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• The Chern-Simons diffusion rate from higher curvature gravity
• Two AdS2 branes in the Euclidean AdS3
• Recursive algorithm and branching for nonmaximal embeddings
• AdS_2 D-Branes in Lorentzian AdS_3
• On generalised D1-D5 near horizons and their spectra
• Superstrings in Thermal Anti-de Sitter Space
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Boundary three-point function on AdS2 D-branes
• Topological Cigar and the c=1 String : Open and Closed
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• On Singleton Composites in Non-compact WZW Models
• Holographic Weyl anomaly in string theory
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach
• A localising AdS${}_3$ sigma model
• String Theory on Lorentzian AdS_3 in Minisuperspace
• On spectrally flowed local vertex operators in AdS${}_3$
• Penrose limit and string quantization in AdS_3 \times S^3
• On the unitarity of gauged non-compact WZNW strings
• Localized Tachyons and the g_cl conjecture
• The diagonal cosets of the Heisenberg group
• Supergravity Solutions for $Ad{S}_3\times S^3$ branes
• Zamolodchikov relations and Liouville hierarchy in SL(2,R)_k WZNW model
• Soliton Spectrum of Integrable Models with Local Symmetries
• A duality in string theory on AdS${}_3$
• The Holar Wind
• Canonical quantization of a massive particle on $Ad{S}_3$
• Orientifolded Locally AdS3 Geometries
• Quantum Entanglement on Black Hole Horizons in String Theory and Holography
• Spectral flow for an integrable staggered superspin chain
• A note on the spectral flow operator
• Stringy Membranes in AdS/CFT
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• More on Long String Dynamics in Gravity on AdS3: Spinning Strings and Rotating BTZ
• Tachyon Condensation with B-field
• Generating string solutions in BTZ
• Winding Strings in AdS_3
• Pure and Twisted Holography
• On conformal field theories based on Takiff superalgebras
• Integrability of D1-brane on Group Manifold with Mixed Three Form Flux
• String correlators in AdS${}_3$ from FZZ duality
• The BRST quantization and the no-ghost theorem for AdS_3
• Refined Cigar and Omega-deformed Conifold
• Current-current deformations, conformal integrals and correlation functions
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• Liouville theory and logarithmic solutions to Knizhnik-Zamolodchikov equation
• Lectures in Quantum Gravity
• Spectrum of the quantum integrable $D_2^{(2)}$ spin chain with generic boundary fields
• Horizon Strings and Interior States of a Black Hole
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models
• Integrable sigma models on Riemann surfaces
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Exact three dimensional black hole with gauge fields in string theory
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant
• From Boundaries To Conditions Over Superspace
• On modular properties of the AdS3 CFT
• Boundary states in the Nappi-Witten model
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Classical geometry from the tensionless string
• Supercriticality of a Class of Critical String Cosmological Solutions
• On duality and extended chiral symmetry in the SL(2,R) WZW model
• Revisiting D-branes in $Ad{S}_3\times S^3$
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Classical and quantum chaos of closed strings on a charged confining holographic background
• Solvable time-like cosets and holography beyond $AdS$
• Rolling tachyon in anti-de Sitter space-time
• Gravitating spinning strings in AdS${}_3$
• On N-spike strings in conformal gauge with NS-NS fluxes
• Topological String on OSP(1|2)/U(1)
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• Critical Non-Abelian Vortex and Holography for Little String Theory
• Nambu-Goto equation from three-dimensional gravity
• Higher rank FZZ-dualities
• String Scale Thermal Anti-de Sitter Spaces
• Stringy CFT Duals with $\mathcal{N}=(2,2)$ Supersymmetry
• Scattering of low lying states in the black hole atmosphere
• Stringy horizons and generalized FZZ duality in perturbation theory
• Representations of the Nappi--Witten vertex operator algebra
• Singular Liouville fields and spiky strings in $\rr^{1,2}$ and $SL(2,\rr)$
• On multi-spin classical strings with NS-NS flux
• Long Strings and Quasinormal Winding Modes
• Anti-de Sitter D-brane dynamics
• Strings from 3D gravity: asymptotic dynamics of AdS${}_3$ gravity with free boundary conditions
• Probing Orientifold Behavior Near NS Branes
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Orientifolds in N=2 Liouville Theory and its Mirror
• Twisted Massive Non-Compact Models
• A Note on Z_2 Symmetries of the KZ Equation
• Quantum Entanglement Index in String Theory
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Semi-Classical Analysis of the String Theory Cigar
• Modular invariant partition functions for non-compact G/Ad(H) models
• Asymptotically Free AdS3/CFT2
• On the semiclassical 3-point function in AdS_3
• Kappa symmetric OSp(2|2) WZNW model
• On string theory on AdS${}_3\times M_7$ in the tensionless limit
• The $Ad{S}_3\times S^1$ Chiral Ring
• Space-time filling branes in non critical (super) string theories
• Aspects of WZW models at critical level
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• A no-ghost theorem for the bosonic Nappi-Witten string
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Space-time symmetry from the world-sheet
• Generalized Supergravity Equations for the WZW Model
• Non-compact Mirror Bundles and (0,2) Liouville Theories
• String theory in twistor space and minimal tension holography
• D-Branes in ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• Gravitational waves from WZW models
• On Free Field Realizations of Strings in BTZ
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• A substrate for brane shells from $T\bar{T}$
• N spike D-strings in AdS Space with mixed flux
• Vacuum type space-like string surfaces in AdS_3 x S^3
• On Six Dimensional Fundamental Superstrings as Holograms
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• The $SU(2)$ Wess-Zumino-Witten spin chain sigma model
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• The $D_3^{(2)}$ spin chain and its finite-size spectrum
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective
• Logarithmic operators in SL(2, R) WZNW model, Singletons and AdS_3/(L)CFT_2 correspondence
• Strings near BTZ black holes: A Carrollian Chronicle
• On Factorization Constraints for Branes in the H3+ Model
• The $Ad{S}_{5}x{S}^{(}5)$ fermionic model
• Factorization identities and algebraic Bethe ansatz for $D_2^{(2)}$ models
• Winding modes and the reflection symmetry in AdS${}_3$
• A Defect in AdS3/CFT2 Duality
• Transfer matrices for AdS3/CFT2
• The symmetric branes of the H4 WZW model
• One-loop effect in the charged 2D black hole near extremality
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality