Higher Spin Black Holes

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.

28 pages, harvmac, no figures v4: corrected statement about asymptotic boundary behavior, new appendix with example of obtaining black hole thermodynamics from integrability v5: sign in eq 4.7 and 4.9 corrected