String Theory on Warped AdS_3 and Virasoro Resonances

Abstract

We investigate aspects of holographic duals to time-like warped AdS_3 space-times--which include Gödel's universe--in string theory. Using worldsheet techniques similar to those that have been applied to AdS_3 backgrounds, we are able to identify space-time symmetry algebras that act on the dual boundary theory. In particular, we always find at least one Virasoro algebra with computable central charge. Interestingly, there exists a dense set of points in the moduli space of these models in which there is actually a second commuting Virasoro algebra, typically with different central charge than the first. We analyze the supersymmetry of the backgrounds, finding related enhancements, and comment on possible interpretations of these results. We also perform an asymptotic symmetry analysis at the level of supergravity, providing additional support for the worldsheet analysis.

24 pages + appendices

References in corpus (75)

• Large N Field Theories, String Theory and Gravity
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Lectures on holographic methods for condensed matter physics
• The Kerr/CFT Correspondence
• AdS3 Black Holes and a Stringy Exclusion Principle
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• The D1/D5 System And Singular CFT
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Quantum Gravity Partition Functions in Three Dimensions
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Warped AdS_3 Black Holes
• Microscopic Formulation of Black Holes in String Theory
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Local BRST cohomology in the antifield formalism: I. General theorems
• More Comments on String Theory on AdS_3
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Surface charge algebra in gauge theories and thermodynamic integrability
• CFT Duals for Extreme Black Holes
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Consistent Kaluza-Klein Sphere Reductions
• Semi-classical central charge in topologically massive gravity
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• From gauge-string duality to strong interactions: a Pedestrian's Guide
• Superstrings on AdS_3 and Symmetric Products
• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• String Theory in Magnetic Monopole Backgrounds
• Godel metric as a squashed anti-de Sitter geometry
• Central Charge for AdS_2 Quantum Gravity
• Worldsheet correlators in AdS(3)/CFT(2)
• Effective action of gauged WZW model and exact string solutions
• A Spin Chain for the Symmetric Product CFT_2
• Three dimensional origin of Godel spacetimes and black holes
• Comments On String Theory
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• Three-dimensional black holes from deformed anti-de Sitter
• Current-Current Deformations of Conformal Field Theories, and WZW Models
• Exciting AdS Orbifolds
• Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior
• Generalized Smarr relation for Kerr AdS black holes from improved surface integrals
• Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection
• Constraints on extremal self-dual CFTs
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Exact N=4 correlators of AdS(3)/CFT(2)
• String Theory on AdS Orbifolds
• Spectral Flow in AdS(3)/CFT(2)
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Stability of warped AdS3 vacua of topologically massive gravity
• Centrally extended symmetry algebra of asymptotically Goedel spacetimes
• Hopfing and Puffing Warped Anti-de Sitter Space
• Note on the First Law with p-form potentials
• Background-independent charges in Topologically Massive Gravity
• The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model
• The BRST formulation of G/H WZNW models
• More on Superstrings in AdS(3) x N
• Real-time correlators in warped AdS/CFT correspondence
• Warped anti-de Sitter spaces from brane intersections in type II string theory
• Embeddings of the Virasoro algebra and black hole entropy
• Strings in extremal BTZ black holes
• Supersymmetric Gödel and warped black holes in string theory
• Comments on String Theory on $Ad{S}_3$
• N=2 Liouville Theory with Boundary
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
• Winding tachyons in BTZ
• Asymptotic symmetries of Schrödinger spacetimes
• Godel space from wrapped M2-branes
• Absorption cross section in warped AdS_3 black hole revisited
• Scalar field dynamics in warped AdS_3 black hole background
• Geometric Finiteness, Holography and Quasinormal Modes for the Warped AdS_3 Black Hole
• Minimal Models of CFT on Z_N-Surfaces
• The Central Charge of the Warped AdS^3 Black Hole

Cited by in corpus (29)

• Warped Conformal Field Theory
• New Boundary Conditions for AdS3
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Cargese Lectures on the Kerr/CFT Correspondence
• Warped AdS3/Dipole-CFT Duality
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• Yangian symmetry in deformed WZNW models on squashed spheres
• The classical origin of quantum affine algebra in squashed sigma models
• Hidden Yangian symmetry in sigma model on squashed sphere
• The Spectrum of Strings on Warped AdS_3 x S^3
• Microscopic Realization of the Kerr/CFT Correspondence
• A note on the complex SYK model and warped CFTs
• Warped Entanglement Entropy
• Heating up holography for single-trace $J\bar{T}$ deformations
• Phase Transitions in Warped AdS${}_3$ Gravity
• Averaging over moduli in deformed WZW models
• Warped Black Holes in Lower-Spin Gravity
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Photon Rings Around Warped Black Holes
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• Warped-AdS3 black holes with scalar halo
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Strings in Irrelevant Deformations of $Ad{S}_3/CF{T}_2$
• Central charges from Thermodynamics method in 3D gravity
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• Critical points of WAdS/CFT and higher-curvature gravity