Kerr-Bolt Spacetimes and Kerr/CFT Correspondence

TL;DR

This paper explores the Kerr/CFT correspondence for rotating spacetimes with NUT charge, demonstrating how singularities in the bulk spacetime manifest as features in the dual chiral conformal field theory.

Contribution

It extends the Kerr/CFT correspondence to NUT-charged spacetimes and analyzes how bulk singularities are reflected in the dual CFT.

Findings

Singularities in the bulk spacetime can be detected in the dual CFT.

The correspondence holds for NUT-charged rotating black holes.

Singularities influence the boundary conditions and the structure of the dual CFT.

Abstract

We investigate the recently proposed Kerr/CFT correspondence in the context of rotating spacetimes with a NUT twist. The Kerr/CFT correspondence states that the near-horizon states of an extremal four (or higher) dimensional black hole could be identified with a certain chiral conformal field theory. The corresponding Virasoro algebra is generated with a class of diffeomorphism which preserves an appropriate boundary condition on the near-horizon geometry. We try to understand the analog of singularities in the context of dual chiral CFT. Explicitly, we use Kerr/CFT correspondence to show that if we initially do not remove the singularities from the spacetimes, in the dual chiral CFT we can detect the presence of singularities in the bulk of spacetime.