Virasoro hair and entropy for axisymmetric Killing horizons
arXiv:2006.02430 · doi:10.1103/PhysRevLett.125.241302
Abstract
We show that the gravitational phase space for the near-horizon region of a bifurcate, axisymmetric Killing horizon in any dimension admits a 2D conformal symmetry algebra with central charges proportional to the area. This extends the construction of [Haco et. al., JHEP 12, 098 (2018)] to generic Killing horizons appearing in solutions of Einstein's equations, and motivates a holographic description in terms of a 2D conformal field theory. The Cardy entropy in such a field theory agrees with the Bekenstein-Hawking entropy of the horizon, suggesting a microscopic interpretation.
arXiv comment6+4 pages, 2 columns, 1 figure, v2: included a derivation of integrability of the horizon charges, added appendix on the near-horizon expansion for Kerr, references added; updated to match published version
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- Anomalies in gravitational charge algebras of null boundaries and black hole entropy
- Brown-York charges at null boundaries
- A general framework for gravitational charges and holographic renormalization
- Ambiguity resolution for integrable gravitational charges
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