Central charge

Abstract

Proceeding in exactly the same way as in the derivation of the temperature of a dual CFT for the extremal black hole in the Kerr/CFT correspondence, it is found that the temperature of a chiral, dual CFT for the Schwarzschild black hole is $T=1/2\pi$. Comparing Cardy's formula with the Bekenstein-Hawking entropy and using $T$, it is found that the central charge for the Schwarzschild black hole is of the form $c=12J_{\mathrm{in}}$, where $J_{\mathrm{in}}$ is the intrinsic angular momentum of the black hole, $J_{\mathrm{in}}=A/8\pi G$. It is shown that the central charge for any four-dimensional (4D) extremal black hole is of the same form. The possible universality of this form is briefly discussed.

14 pages, Note Added in Proof, published version

References in corpus (8)

• CFT Duals for Extreme Black Holes
• Cargese Lectures on the Kerr/CFT Correspondence
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Quantization of the black hole area as quantization of the angular momentum component
• On the "Universal" Quantum Area Spectrum
• Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
• Black hole motion in Euclidean space as a diffusion process
• Black hole motion in Euclidean space as a diffusion process II

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• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions