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arXiv · 2006.02430

Virasoro hair and entropy for axisymmetric Killing horizons

Lin-Qing Chen·Wan Zhen Chua·Shuwei Liu·Antony J. Speranza·Bruno de S. L. Torres
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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.

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Lin-Qing Chen, Wan Zhen Chua, Shuwei Liu, Antony J. Speranza, Bruno de S. L. Torres. 2020-06-03. Virasoro hair and entropy for axisymmetric Killing horizons. https://doi.org/10.1103/physrevlett.125.241302

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