Warped Black Holes in Lower-Spin Gravity

Abstract

We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin $\mathfrak{sl}(2,\mathbb{R})\oplus \mathfrak{u}(1)$ Chern-Simons theory proposed by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy and holographic entanglement entropy and show that all these quantities are in perfect agreement with the expectations from the dual WCFT perspective. In addition we provide a metric interpretation of our results which naturally fits with our analysis in the Chern-Simons formulation.

33 pages, 1 figure; v2: corrected minor typos and added references; v3: added a section, references and corrected minor typos. Matches published version;

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• Warped Symmetries of the Kerr Black Hole
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
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• 2d Galilean Field Theories with Anisotropic Scaling
• Gravitational Wilson Lines in 3D de Sitter
• Structure Constants from Modularity in Warped CFT
• Rényi Mutual Information in Holographic Warped CFTs
• Supersymmetric Warped Conformal Field Theory
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• Systematics of Boundary Actions in Gauge Theory and Gravity
• A Selberg zeta function for warped AdS${}_3$ black holes
• Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence
• New Chiral Generalized Minimal Massive Gravity
• Critical points of WAdS/CFT and higher-curvature gravity
• Gravitational radiations of Kerr black hole from warped symmetries
• Developments in non-relativistic field theory and complexity