Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity

Abstract

We propose a set of consistent boundary conditions containing the spacelike warped black holes solutions of Topologically Massive Gravity. We prove that the corresponding asymptotic charges whose algebra consists in a Virasoro algebra and a current algebra are finite, integrable and conserved. A similar analysis is performed for the timelike warped AdS_3 spaces which contain a family of regular solitons. The energy of the boundary Virasoro excitations is positive while the current algebra leads to negative (for the spacelike warped case) and positive (for the timelike warped case) energy boundary excitations. We discuss the relationship with the Brown-Henneaux boundary conditions.

16 pages, ESI proceedings, v2: typos corrected, published version

References in corpus (5)

• Warped AdS_3 Black Holes
• Surface charge algebra in gauge theories and thermodynamic integrability
• Semi-classical central charge in topologically massive gravity
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610

Cited by in corpus (36)

• Cargese Lectures on the Kerr/CFT Correspondence
• Another Realization of Kerr/CFT Correspondence
• Stability of warped AdS3 vacua of topologically massive gravity
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• The Curious Case of Null Warped Space
• Warped black holes in 3D general massive gravity
• String Theory on Warped AdS_3 and Virasoro Resonances
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Hidden Conformal Symmetry of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity
• Phase Transitions in Warped AdS${}_3$ Gravity
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• Self-Dual Warped AdS${}_3$ Black Holes
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Complexity of warped conformal field theory
• Reflected Entropy in AdS${}_3$/WCFT
• All stationary axi-symmetric local solutions of topologically massive gravity
• Supersymmetric Warped Conformal Field Theory
• Near-Extremal Limits of Warped Black Holes
• Thermodynamic Stability of Warped AdS3 Black Holes
• Systematics of Boundary Actions in Gauge Theory and Gravity
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Anisotropic conformal Carroll field theories and their gravity duals
• New Chiral Generalized Minimal Massive Gravity
• Null Surface Thermodynamics in Topologically Massive Gravity
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• Modular matrices of 2d Carrollian and warped CFTs
• Warped CFT duals of the Plebański-Demiański family of solutions
• Near horizon symmetry of extremal spacelike-stretched black holes
• Gravitational radiations of Kerr black hole from warped symmetries
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• Notes on Self-dual Warped dS${}_3$ Spacetime
• Cosmological New Massive Gravity and Galilean Conformal Algebra in 2-dimensions