Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes

TL;DR

This paper demonstrates that extremal Kerr-Bolt spacetimes possess a hidden conformal symmetry, linking their wave equations to a dual 2D conformal field theory and matching their entropy and correlation functions.

Contribution

It reveals a hidden conformal symmetry in extremal Kerr-Bolt spacetimes and establishes a correspondence with a dual 2D CFT, including entropy and correlation function matches.

Findings

Wave equation in near-region extremal Kerr-Bolt spacetime can be expressed via SL(2,R) Casimir.

Microscopic entropy matches the Bekenstein-Hawking entropy.

Correlation functions agree with dual 2D CFT predictions.

Abstract

We show that extremal Kerr-Bolt spacetimes have a hidden conformal symmetry. In this regard, we consider the wave equation of a massless scalar field propagating in extremal Kerr-Bolt spacetimes and find in the "near region", the wave equation in extremal limit can be written in terms of the $SL(2,R)$ quadratic Casimir. Moreover, we obtain the microscopic entropy of the extremal Kerr-Bolt spacetimes also we calculate the correlation function of a near-region scalar field and find perfect agreement with the dual 2D CFT.