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Black Hole Entropy and Soft Hair

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arxiv 1810.01847 v4 pith:PBGN5MII submitted 2018-10-03 hep-th

classification hep-th
keywords chargesblackvirasorocentralformulagenericholehorizon
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

A set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ 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 $c_L=c_R=12J$. 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.

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Cited by 14 Pith papers

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