On Non-Chiral Extension of Kerr/CFT

TL;DR

This paper explores a non-chiral extension of the Kerr/CFT correspondence by analyzing extremal black holes and their near horizon geometries, revealing a hidden non-chiral Virasoro symmetry with equal central charges.

Contribution

It demonstrates the emergence of non-chiral Virasoro symmetry in extremal black holes through a regularization procedure, extending Kerr/CFT to a non-chiral framework.

Findings

Non-chiral Virasoro symmetry with equal central charges identified

Regularization enables proper definition of asymptotic symmetry

Supports existence of a hidden non-chiral CFT_2 structure

Abstract

We discuss possible non-chiral extension of the Kerr/CFT correspondence. We first consider the near horizon geometry of an extremal BTZ black hole and study the asymptotic symmetry. In order to define it properly, we introduce a regularization and show that the asymptotic symmetry becomes the desirable non-chiral Virasoro symmetry with the same central charges for both left and right sectors, which are independent of the regularization parameter. We then investigate the non-chiral extension for general extremal black holes in the zero entropy limit. Since the same geometric structure as above emerges in this limit, we identify non-chiral Virasoro symmetry by a similar procedure. This observation supports the existence of a hidden non-chiral CFT_2 structure with the same central charges for both left and right sectors dual to the rotating black holes.