Central charge for the Schwarzschild black hole

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 [Formula: see text]. Comparing Cardy’s formula with the Bekenstein–Hawking entropy and using [Formula: see text], it is found that the central charge for the Schwarzschild black hole is of the form [Formula: see text], where [Formula: see text] is the intrinsic angular momentum of the black hole, [Formula: see text]. 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.