Black Holes as Conformal Field Theories on Horizons

Abstract

We show that any nonextreme black hole can be described by a state with $L_0=E_R$ in a $D=2$ chiral conformal field theory with central charge $c=12E_R$ where $E_R$ is the dimensionless Rindler energy of the black hole. The theory lives in the very near horizon region, i.e. around the origin of Rindler space. Black hole hair is the momentum along the Euclidean dimensionless Rindler time direction. As evidence, we show that $D$--dimensional Schwarzschild black holes and $D=2$ dilatonic ones that are obtained from them by spherical reduction are described by the same conformal field theory states.

arXiv comment21 pages

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Cited by in corpus (13)

• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Revisiting noninteracting string partition functions in Rindler space
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
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• Complexity Near Horizons
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• The Cardy Formula from Goldstone Bosons
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