Higher Spin Black Holes

TL;DR

This paper explores classical higher spin black hole solutions in 3D gravity, extending the BTZ black hole to include spin-3 charge, and develops methods for calculating related correlation functions in the AdS/CFT framework.

Contribution

It introduces new higher spin black hole solutions and advances computational techniques for higher spin correlation functions in AdS/CFT.

Findings

Derived entropy formula for higher spin black holes

Established asymptotic growth of partition function with spin-3 charge

Developed tools for higher spin correlation function calculations

Abstract

We study classical solutions of three dimensional higher spin gravity in the Chern-Simons formulation. We find solutions that generalize the BTZ black hole and carry spin-3 charge. The black hole entropy formula yields a result for the asymptotic growth of the partition function at finite spin-3 chemical potential. Along the way, we develop technology for computing AdS/CFT correlation functions involving higher spin operators.