Hidden Conformal Symmetry of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity

Abstract

We extend the recently proposal of hidden conformal symmetry to the self-dual warped AdS${}_3$ black holes in topological massive gravity. It is shown that the wave equation of massive scalar field with sufficient small angular momentum can be reproduced by the SL(2, R) Casimir quadratic operator. Due to the periodic identification in the $\varphi$ direction, it is found that only the left section of hidden conformal symmetry is broken to U(1), while the right section is unbroken, which only gives the left temperature of dual CFT. As a check of the dual CFT conjecture of self-warped AdS${}_3$ black hole, we further compute the Bekenstein-Hawking entropy and absorption cross section and quasinormal modes of scalar field perturbation and show these are just of the forms predicted by the dual CFT.

16 pages, no figures, expanded version

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Cited by in corpus (16)

• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• New Near Horizon Limit in Kerr/CFT
• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
• Analytical studies of Hawking radiation and quasinormal modes in rotating linear dilatonic black hole
• Holographic description of three dimensional Godel black hole
• Semi-leptonic Production of $D_{sJ}(3040)$ and $D_J(3000)$ in $B_s$ and $B$ Decays
• A Selberg zeta function for warped AdS${}_3$ black holes
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity