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

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.

6 pages, 5 figures

References in corpus (2)

• Generalized Black Holes in Three-dimensional Spacetime
• Extremal Higher Spin Black Holes

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• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields