More Comments on String Theory on AdS_3

Abstract

We clarify a number of issues regarding the worldsheet and spacetime descriptions of string propagation on AdS_3. We construct the vertex operators of spacetime current algebra and spacetime (super) Virasoro generators in the full interacting SL(2) WZW theory and study their Ward identities. We also explain the relation between the analysis in this note and some recent work on this subject.

42 pages, harvmac; references added

Cited by in corpus (208)

• Large N Field Theories, String Theory and Gravity
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• D-brane Charges in Five-brane backgrounds
• Operator product expansion and factorization in the $H_3^{+}$-WZNW model
• Conformally Soft Photons and Gravitons
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• From Big Bang to Big Crunch and Beyond
• Holography Beyond AdS
• LSZ in LST
• Tensionless Strings and Galilean Conformal Algebra
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Worldsheet correlators in AdS(3)/CFT(2)
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• Entanglement Beyond $\mathrm{AdS}$
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Notes on AdS_3
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Towards integrability for AdS3/CFT2
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• Partition functions of the tensionless string
• Matching of correlators in AdS_3/CFT_2
• Crossing Symmetry in the $H_3^{+}$ WZNW model
• Comments on D-branes in AdS_3
• Strings in the Extended BTZ Spacetime
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Fine Structure of Jackiw-Teitelboim Quantum Gravity
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• String interactions in gravitational wave backgrounds
• Non-local string theories on AdS_3 times S^3 and stable non-supersymmetric backgrounds
• String Theory on AdS Orbifolds
• Spectral Flow in AdS(3)/CFT(2)
• BMS, String Theory, and Soft Theorems
• Lectures on Celestial Holography
• The Spectrum of Strings on Warped AdS_3 x S^3
• Conformal field theory of the integer quantum Hall plateau transition
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• String correlators on ${\text{AdS}}_3$: Three-point functions
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
• String Theory of Supertubes
• Two-Point String Amplitudes
• Conformal properties of soft-operators - 1 : Use of null-states
• Black Hole Non-Formation in the Matrix Model
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• Fundamental Strings, Holography, and Nonlinear Superconformal Algebras
• On the worldsheet theories of strings dual to free large N gauge theories
• Branes in the GL(1|1) WZNW-Model
• Three-point functions and operator product expansion in the SL(2) conformal field theory
• Kaluza-Klein supergravity on AdS_3 x S^3
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• Three-point functions in AdS${}_3$/CFT${}_2$ holography
• More on Superstrings in AdS(3) x N
• Spacetime supersymmetry in $Ad{S}_3$ backgrounds
• Sphere and disk partition functions in Liouville and in matrix integrals
• Conformal properties of soft operators -- 2 : Use of null-states
• Counting Giant Gravitons in AdS_3
• 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
• String Theory on Warped AdS_3 and Virasoro Resonances
• Conformal Current Algebra in Two Dimensions
• Fundamental Superstrings as Holograms
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Superstrings in AdS
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Currents and Moduli in the (4,0) theory
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Supersymmetric Renyi Entropy in $CF{T}_2$ and $Ad{S}_3$
• Superstring Perturbation Theory and Ramond-Ramond Backgrounds
• Nearing the Horizon of a Heterotic String
• Heating up holography for single-trace $J\bar{T}$ deformations
• Three-point functions in superstring theory on AdS3xS3xT4
• $T\bar{T}$ type deformation in the presence of a boundary
• Boundary States for D-branes in $Ad{S}_3$
• Free Field Appoach to String Theory on AdS_3
• Black hole microstates from the worldsheet
• Path Integral Approach to String Theory on AdS_3
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
• String States on AdS_3 x S^3 from the Supergroup
• Worldsheet four-point functions in AdS(3)/CFT(2)
• On the Boundary Dynamics of Chern-Simons Gravity
• String amplitudes in the Hpp-wave limit of AdS3xS3
• BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$
• String Theory on AdS_3 as Discrete Light-Cone Liouville Theory
• Conformally Soft Fermions
• The massless string spectrum on AdS_3 x S^3 from the supergroup
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• More AdS_3 correlators
• Stringy ER=EPR
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Superstring Theory on AdS_3 x G/H and Boundary N=3 Superconformal Symmetry
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Thermal AdS(3), BTZ and competing winding modes condensation
• Logarithmic operators in the SL(2,R) WZNW model
• Holography and the Polyakov action
• On Spectral Flow Symmetry and Knizhnik-Zamolodchikov Equation
• Two-charge small black hole entropy: String-loops and multi-strings
• Operator product expansion in SL(2) conformal field theory
• Winding strings and AdS_3 black holes
• Prelogarithmic operators and Jordan blocks in SL(2)_k affine algebra
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• Modular invariance of string theory on AdS_3
• Long strings and chiral primaries in the hybrid formalism
• The space-time operator product expansion in string theory duals of field theories
• The plane-wave spectrum from the worldsheet
• Worldsheet computation of heavy-light correlators
• Strings in Noncompact Spacetimes: Boundary Terms and Conserved Charges
• From effective actions to the background geometry
• The AdS3 central charge in string theory
• Remarks on 2+1 Self-dual Chern-Simons Gravity
• CFT description of three-dimensional Hawking-Page transition
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• D1D5 System and Noncommutative Geometry
• M5 brane from mass deformed BLG theory
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• AdS/CFT dualities involving large 2d N=4 superconformal symmetry
• Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds
• Branes in the OSP(1|2) WZNW model
• Superstring in the plane-wave background with RR flux as a conformal field theory
• AdS-Flows and Weyl Gravity
• A proof for string three-point functions in AdS${}_3$
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• The Thermal Scalar and Random Walks in AdS3 and BTZ
• Free field realization of superstring theory on AdS3
• Near-Hagedorn Thermodynamics and Random Walks - Extensions and Examples
• Comments on $T\bar{T}$, $J\bar{T}$ and String Theory
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT
• Topological String on AdS_3 x N
• Anti-de Sitter D-branes in Curved Backgrounds
• Massless BTZ black holes in minisuperspace
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• AdS_2 D-Branes in Lorentzian AdS_3
• Superstrings in Thermal Anti-de Sitter Space
• Twisted String Theory in Anti-de Sitter Space
• String/M-branes for Relativists
• String Theory on Lorentzian AdS_3 in Minisuperspace
• The Torus One-Point Diagram in Two-Dimensional String Cosmology
• Holographic Weyl anomaly in string theory
• Spacetime Virasoro algebra from strings on zero radius AdS_3
• A localising AdS${}_3$ sigma model
• On spectrally flowed local vertex operators in AdS${}_3$
• Zamolodchikov relations and Liouville hierarchy in SL(2,R)_k WZNW model
• The Holar Wind
• $p$-Forms on the Celestial Sphere
• A duality in string theory on AdS${}_3$
• Superstrings on NSNS PP-Waves and Their CFT Duals
• Penrose limit and string quantization in AdS_3 \times S^3
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• Ambitwistor Strings and the Scattering Equations on AdS${}_3\times$S${}^3$
• A Note on Classical String Dynamics on AdS_3
• More on Long String Dynamics in Gravity on AdS3: Spinning Strings and Rotating BTZ
• Asymptotic symmetry groups and operator algebras
• A note on the spectral flow operator
• Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of $Ad{S}_3$
• Constructing Classical and Quantum Superconformal Algebras on the Boundary of AdS_3
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• The AdS3 boundary energy momentum tensor, exact in the string length over the curvature radius
• Worldsheet operator product expansions and p-point functions in AdS3/CFT2
• Stringy holography at finite density
• Two Dimensional Anti-de Sitter Space and Discrete Light Cone Quantization
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Explicitly Broken Supersymmetry with Exactly Massless Moduli
• String Scale Thermal Anti-de Sitter Spaces
• Critical Non-Abelian Vortex and Holography for Little String Theory
• $\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Higher rank FZZ-dualities
• Solvable time-like cosets and holography beyond $AdS$
• Noncritical M-theory: Three Dimensions
• Strings from 3D gravity: asymptotic dynamics of AdS${}_3$ gravity with free boundary conditions
• Anti-de Sitter D-brane dynamics
• String correlators on ${\text{AdS}}_3$: Four-point functions
• A Note on Z_2 Symmetries of the KZ Equation
• Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3
• Asymptotically Free AdS3/CFT2
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• On string theory on AdS${}_3\times M_7$ in the tensionless limit
• On marginal deformation of WZNW model and PP-wave limit of deformed $Ad{S}_3\times S^3$ string geometry
• The $Ad{S}_3\times S^1$ Chiral Ring
• Space-time symmetry from the world-sheet
• String theory in twistor space and minimal tension holography
• Moving holographic boundaries
• Towards black hole scattering
• A substrate for brane shells from $T\bar{T}$
• Notes on the SL(2,R) CFT
• Logarithmic operators in SL(2, R) WZNW model, Singletons and AdS_3/(L)CFT_2 correspondence
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• TASI Lectures on Perturbative String Theory and Ramond-Ramond Flux
• $T\bar{T}$, Black Holes and Negative Strings
• On the Various Types of D-Branes in the Boundary H3+ Model
• Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Strings on AdS_3 x S^3 and the Plane-Wave Limit. Issues on PP-Wave/CFT Holography
• Exact chiral ring of AdS(3)/CFT(2)
• A Defect in AdS3/CFT2 Duality
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Superstring in the pp-wave background with RR flux as a conformal field theory
• Superconformal Algebras in Light-cone Gauge Quantization of String Theories on $AdS_3
• Strings near BTZ black holes: A Carrollian Chronicle
• AdS3's with and without BTZ's