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

摘要

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