Towards metric-like higher spin gauge theories in three dimensions

Abstract

We consider the coupling of a symmetric spin-3 gauge field to\nthree-dimensional gravity in a second order metric-like formulation. The action\nthat corresponds to an SL(3,R) x SL(3,R) Chern-Simons theory in the frame-like\nformulation is identified to quadratic order in the spin-3 field. We apply our\nresult to compute corrections to the area law for higher-spin black holes using\nWald's entropy formula.\n