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Abstract: (Springer)
A set of infinitesimal VirasoroL_{L} ⊗ VirasoroR_{R} diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of ‘Wald-Zoupas’ counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges cL_{L} = cR_{R} = 12J. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.
Note:
  • Accepted for publication by JHEP on 05/12/18
  • Black Holes
  • Gauge-gravity correspondence
  • Space-Time Symmetries
  • black hole: Kerr
  • black hole: entropy
  • charge: Virasoro
  • algebra
  • phase space: covariance
  • central charge
  • horizon