The Central Charge of the Warped AdS^3 Black Hole

Abstract

The AdS/CFT conjecture offers the possibility of a quantum description for a black hole in terms of a CFT. This has led to the study of general AdS^3 type black holes with a view to constructing an explicit toy quantum black hole model. Such a CFT description would be characterized by its central charge and the dimensions of its primary fields. Recently the expression for the central charges (C_L, C_R) of the CFT dual to the warped AdS^3 have been determined using asymptotic symmetry arguments. The central charges depend, as expected, on the warping factor. We show that topological arguments, used by Witten to constrain central charges for the BTZ black hole, can be generalized to deal with the warped AdS^3 case. Topology constrains the warped factor to be rational numbers while quasinormal modes are conjectured to give the dimensions of primary fields. We find that in the limit when warping is large or when it takes special rational values the system tends to Witten's conjectured unique CFT's with central charges that are multiples of 24.

6 pages, Latex file

References in corpus (8)

• Three-Dimensional Gravity Revisited
• Warped AdS_3 Black Holes
• Black hole mass and angular momentum in topologically massive gravity
• Semi-classical central charge in topologically massive gravity
• Three-dimensional Chern-Simons black holes
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Absorption cross section in warped AdS_3 black hole revisited
• Geometric Finiteness, Holography and Quasinormal Modes for the Warped AdS_3 Black Hole

Cited by in corpus (2)

• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• String Theory on Warped AdS_3 and Virasoro Resonances