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