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.

41 pages, 1 figure

References in corpus (22)

• Constraining Black Hole Spin Via X-ray Spectroscopy
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• Near-horizon symmetries of extremal black holes
• Setting the boundary free in AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• Semi-classical central charge in topologically massive gravity
• No Dynamics in the Extremal Kerr Throat
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Kerr-CFT and gravitational perturbations
• Cargese Lectures on the Kerr/CFT Correspondence
• Holography for Schrodinger backgrounds
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Central Charges in Extreme Black Hole/CFT Correspondence
• Another Realization of Kerr/CFT Correspondence
• Microscopic Theory of Black Hole Superradiance
• Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
• Microscopic Realization of the Kerr/CFT Correspondence
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• The Curious Case of Null Warped Space
• New Near Horizon Limit in Kerr/CFT
• On Non-Chiral Extension of Kerr/CFT

Cited by in corpus (11)

• Lifshitz Space-Times for Schroedinger Holography
• Warped Conformal Field Theory as Lower Spin Gravity
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Phase Transitions in Warped AdS${}_3$ Gravity
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Comments on AdS_2 Gravity
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Holographic entropy of Warped-AdS${}_3$ black holes