# Central charge

Source: [Central charge](<https://www.sota2.com/research/paper/68fa32ce1e209131ce88b102>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:43:22.549Z

Authors: K. Ropotenko

Published: 2016-01-11T15:32:27.000Z

## 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 $c=12J\_{\\rm in}$, where $J\_{\\rm in}$ is the intrinsic angular momentum of the black hole, $J\_{\\rm in}=A/8\\pi G$. 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1601.04087>)

[PDF](<https://arxiv.org/pdf/1601.04087.pdf>)