Two Virasoro symmetries in stringy warped AdS${}_3$

Abstract

We study three-dimensional consistent truncations of type IIB supergravity which admit warped AdS${}_3$ solutions. These theories contain subsectors that have no bulk dynamics. We show that the symplectic form for these theories, when restricted to the non-dynamical subsectors, equals the symplectic form for pure Einstein gravity in AdS${}_3$. Consequently, for each consistent choice of boundary conditions in AdS${}_3$, we can define a consistent phase space in warped AdS${}_3$ with identical conserved charges. This way, we easily obtain a Virasoro $\times$ Virasoro asymptotic symmetry algebra in warped AdS${}_3$; two different types of Virasoro $\times$ Kač-Moody symmetries are also consistent alternatives. Next, we study the phase space of these theories when propagating modes are included. We show that, as long as one can define a conserved symplectic form without introducing instabilities, the Virasoro $\times$ Virasoro asymptotic symmetries can be extended to the entire (linearized) phase space. This implies that, at least at semi-classical level, consistent theories of gravity in warped AdS${}_3$ are described by a two-dimensional conformal field theory, as long as stability is not an issue.

arXiv comment41 pages, 1 figure

References in corpus (82)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• The Kerr/CFT Correspondence
• AdS3 Black Holes and a Stringy Exclusion Principle
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Local BRST cohomology in gauge theories
• Anti-de Sitter Fragmentation
• Constraining Black Hole Spin Via X-ray Spectroscopy
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• Near-horizon symmetries of extremal black holes
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• AdS2 Quantum Gravity and String Theory
• Quantum effective action from the AdS/CFT correspondence
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Black Hole Superradiance From Kerr/CFT
• Warped Conformal Field Theory
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• New Boundary Conditions for AdS3
• Semi-classical central charge in topologically massive gravity
• No evidence for black hole spin powering of jets in X-ray binaries
• No Dynamics in the Extremal Kerr Throat
• Dipoles, Twists and Noncommutative Gauge Theory
• 1H0707-495 in 2011: An X-ray source within a gravitational radius of the event horizon
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• What is a chiral 2d CFT? And what does it have to do with extremal black holes?
• Nonlocal Field Theories and their Gravity Duals
• Gravitational Turbulent Instability of Anti-de Sitter Space
• Kerr-CFT and gravitational perturbations
• Black Holes and Wormholes in 2+1 Dimensions
• Cargese Lectures on the Kerr/CFT Correspondence
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• Search for the ${\Lambda }_b\to \Lambda {\eta }^{\prime }$ and ${\Lambda }_b\to \Lambda \eta$ decays with the LHCb detector
• Enhanced asymptotic symmetry algebra of AdS3
• Holography for Schrodinger backgrounds
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Measuring the Spin of GRS 1915+105 with Relativistic Disk Reflection
• Central Charges in Extreme Black Hole/CFT Correspondence
• Another Realization of Kerr/CFT Correspondence
• Holography and wormholes in 2+1 dimensions
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• Counter-term charges generate bulk symmetries
• Warped AdS3/Dipole-CFT Duality
• Three dimensional origin of Godel spacetimes and black holes
• Microscopic Theory of Black Hole Superradiance
• An sl(2, R) current algebra from AdS_3 gravity
• Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
• Gravity Waves from Kerr/CFT
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Holographic renormalization for irrelevant operators and multi-trace counterterms
• The Spectrum of Strings on Warped AdS_3 x S^3
• AdS/CFT beyond the unitarity bound
• Microscopic Realization of the Kerr/CFT Correspondence
• 3D supergravity from wrapped M5-branes
• Yet Another Realization of Kerr/CFT Correspondence
• 3D Supergravity from wrapped D3-branes
• Stringy Schroedinger truncations
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Chiral Liouville Gravity
• Isometry-preserving boundary conditions in the Kerr/CFT correspondence
• The Curious Case of Null Warped Space
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Free boundary conditions and the AdS${}_3$/CFT${}_2$ correspondence
• Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence
• New Near Horizon Limit in Kerr/CFT
• Un-twisting the NHEK with spectral flows
• Cardy and Kerr
• On Non-Chiral Extension of Kerr/CFT
• Banishing AdS ghosts with a UV cutoff
• Decrypting the warped black strings

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• Lifshitz Space-Times for Schroedinger Holography
• Warped Conformal Field Theory as Lower Spin Gravity
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
• Warped Weyl fermion partition functions
• 3D supergravity from wrapped M5-branes
• Correlation Functions of Warped CFT
• A note on the complex SYK model and warped CFTs
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Wiggling Throat of Extremal Black Holes
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Heating up holography for single-trace $J\bar{T}$ deformations
• Phase Transitions in Warped AdS${}_3$ Gravity
• On Rigidity of 3d Asymptotic Symmetry Algebras
• Calibrated Entanglement Entropy
• Logarithmic corrections to black hole entropy from Kerr/CFT
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Structure Constants from Modularity in Warped CFT
• Warped-AdS3 black holes with scalar halo
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• Near-Extremal Limits of Warped Black Holes
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Comments on AdS_2 Gravity
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Extreme Kerr black hole microstates with horizon fluff
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• Holographic entropy of Warped-AdS${}_3$ black holes
• Near-Horizon Extremal Geometries: Coadjoint Orbits and Quantization
• The Spectrum of Static Subtracted Geometries