Abstract
We consider asymptotically Warped AdS$_3$ black holes in Topologically Massive Gravity. We study their thermodynamic stability and show the existence of a Hawking-Page phase transition between the black hole and thermal background phases. At zero angular potential, the latter is shown to occur at the self-dual point of the dual Warped Conformal Field Theory partition function, in analogy with the phase transition for BTZ black holes in AdS$_3$/CFT$_2$. We also discuss how the central and vacuum charges can be obtained from inner horizon mechanics in the presence of a gravitational anomaly.
Highlights
We consider asymptotically Warped AdS3 black holes in Topologically Massive Gravity. We study their thermodynamic stability and show the existence of a HawkingPage phase transition between the black hole and thermal background phases
The latter is shown to occur at the self-dual point of the dual Warped Conformal Field Theory partition function, in analogy with the phase transition for BTZ black holes in AdS3/CFT2
The goal of this paper is to investigate the existence of phase transitions in Warped AdS3 spaces (WAdS3) gravity and relate them to properties of the putative underlying Warped Conformal Field Theories (WCFTs)
Summary
The resulting geometry possesses an SL(2, R) × U(1) isometry group, and is named Timelike, Spacelike or Null Warped AdS3 depending on the norm of the deformation Killing vector (||ξ||2 = −1, +1 or 0 respectively). These metrics no longer solve Einstein’s equations, but are a solution to the equations of motion of various highercurvature extensions of 3d gravity and of Einstein-Hilbert gravity coupled to matter fields. The change of coordinates between BTZ black holes and Poincare AdS3, close to the boundary, is precisely the one between Rindler and Minkowski observers in (1+1)-dimensions [8]. We will be interested in studying possible phase transitions in holographic WCFTs between Warped black holes and the global vacuum put at finite potentials
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