Virasoro Hair and Entropy for Axisymmetric Killing Horizons
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2020-12-11
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Chen, Lin-Qing
Chua, Wan Zhen
Liu, Shuwei
Speranza, Antony J.
De S. L. Torres, Bruno [UNESP]
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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. [J. High Energy Phys. 12 (2018) 098JHEPFG1029-847910.1007/JHEP12(2018)098] 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. A set of appendixes is included in the Supplemental Material that provides examples and further details of the calculations presented in the main text.
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Physical Review Letters, v. 125, n. 24, 2020.