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arXiv · 1611.08025

Phases of higher spin black holes: Hawking-Page, transitions between black holes and a critical point

Máximo Bañados·Gustavo Düring·Alberto Faraggi·Ignacio Reyes
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Abstract

We study the thermodynamic phase diagram of three-dimensional $sl(N;\mathbb{R})$ higher spin black holes. By analyzing the semi-classical partition function we uncover a rich structure that includes Hawking-Page transitions to the AdS$_3$ vacuum, first order phase transitions among black hole states, and a second order critical point. Our analysis is explicit for $N=4$ but we extrapolate some of our conclusions to arbitrary $N$. In particular, we argue that even $N$ is stable in the ensemble under consideration but odd $N$ is not.

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Máximo Bañados, Gustavo Düring, Alberto Faraggi, Ignacio Reyes. 2016-11-23. Phases of higher spin black holes: Hawking-Page, transitions between black holes and a critical point. https://doi.org/10.1103/physrevd.96.046017

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