Another Realization of Kerr/CFT Correspondence

TL;DR

This paper presents a new realization of the Kerr/CFT correspondence by imposing novel asymptotic conditions, leading to an enhanced symmetry and a concrete demonstration of the duality at finite temperature.

Contribution

It introduces a new set of asymptotic conditions for Kerr black holes that reveal an enhanced symmetry structure, including the Virasoro algebra, strengthening the Kerr/CFT correspondence.

Findings

Virasoro algebra realized as symmetry enhancement

Finite temperature effects analyzed within the new framework

Concrete demonstration of Kerr/CFT correspondence

Abstract

We study another realization of the Kerr/CFT correspondence. By imposing new asymptotic conditions for the near horizon geometry of Kerr black hole, an asymptotic symmetry which contains all of the exact isometries can be obtained. In particular, the Virasoro algebra can be realized as an enhancement of SL(2,R) symmetry of the AdS geometry. By using this asymptotic symmetry, we discuss finite temperature effects and show the correspondence concretely.