Phase Transitions in Warped AdS$_3$ Gravity

TL;DR

This paper investigates phase transitions in Warped AdS$_3$ black holes within Topologically Massive Gravity, revealing a Hawking-Page transition linked to dual Warped CFTs and exploring charge derivations from horizon mechanics.

Contribution

It demonstrates the existence of a Hawking-Page phase transition in Warped AdS$_3$ black holes and connects thermodynamic properties to dual field theory features and horizon mechanics.

Findings

Hawking-Page phase transition identified between black hole and thermal phases.

Transition occurs at the self-dual point of the dual Warped CFT partition function.

Central and vacuum charges derived from inner horizon mechanics with gravitational anomaly.

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.