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Journal of High Energy Physics

, 2018:98 | Cite as

Black hole entropy and soft hair

  • Sasha HacoEmail author
  • Stephen W. Hawking
  • Malcolm J. Perry
  • Andrew Strominger
Open Access
Regular Article - Theoretical Physics

Abstract

A set of infinitesimal Virasoro L ⊗ 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 cL = cR = 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.

Keywords

Black Holes Gauge-gravity correspondence Space-Time Symmetries 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Sasha Haco
    • 1
    • 2
    Email author
  • Stephen W. Hawking
    • 1
  • Malcolm J. Perry
    • 1
    • 2
    • 3
  • Andrew Strominger
    • 2
  1. 1.DAMTP, Cambridge University, Centre for Mathematical SciencesCambridgeU.K.
  2. 2.Center for the Fundamental Laws of NatureHarvard UniversityCambridgeUSA
  3. 3.Radcliffe Institute for Advanced StudyCambridgeUSA

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