Hidden Conformal Symmetry of Kerr-Bolt Spacetimes

TL;DR

This paper demonstrates that Kerr-Bolt spacetimes exhibit hidden conformal symmetry in the wave equation of a scalar field, allowing for a dual CFT description that matches the black hole entropy and absorption properties.

Contribution

It extends the hidden conformal symmetry framework to Kerr-Bolt spacetimes, revealing a dual CFT description and matching entropy and absorption cross sections.

Findings

Wave equation reproduces $SL(2,R)_L imes SL(2,R)_R$ Casimir in near region

Microscopic entropy matches Bekenstein-Hawking entropy

Absorption cross section aligns with dual CFT prediction

Abstract

We extend the recent proposal of hidden conformal symmetry to the four-dimensional spacetimes with rotational parameter and NUT twist. We consider the wave equation of a massless scalar field in background of Kerr-Bolt spacetimes and show in the "near region", the wave equation can be reproduced by the $SL(2,R)_L \times SL(2,R)_R$ Casimir quadratic operators. Moreover, we compute the microscopic entropy of the dual CFT by Cardy formula and find a perfect match to Bekenstein-Hawking entropy of Kerr-Bolt spacetimes. The absorption cross section of a near region scalar field also matches to microscopic absorption cross section of the dual CFT.