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.

21 pages

References in corpus (8)

• CFT Duals for Extreme Black Holes
• Lectures on Quantum Black Holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Perturbative String Thermodynamics near Black Hole Horizons
• Dynamics of Diffeomorphism Degrees of Freedom at a Horizon
• Rindler Energy is Wald Entropy
• On the Holographic Nature Of Rindler Energy

Cited by in corpus (4)

• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Extremal Black Hole Entropy from Horizon Conformal Field Theories
• Complexity Near Horizons
• The Cardy Formula from Goldstone Bosons