CFT Duals for Black Rings and Black Strings

TL;DR

This paper investigates hidden conformal symmetry in black rings and black strings, showing these non-extremal black holes have dual 2D CFT descriptions, and introduces new monodromy techniques for analysis.

Contribution

It demonstrates that hidden conformal symmetry exists in black rings and black strings independently of KG-equation separability, and develops revised monodromy methods for these cases.

Findings

Hidden conformal symmetry is present in black rings and black strings.

Non-extremal black holes can have dual 2D CFT descriptions.

New monodromy techniques are applicable to these black hole solutions.

Abstract

Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG) operator in a so-called near-region limit. In this paper, we examine hidden conformal symmetry of black rings and black strings solutions, thus demonstrating that the presence of hidden conformal symmetry is not linked to the separability of the KG-equation (or the existence of a Killing-Yano tensor). Further, we will argue that these classes of non-extremal black holes have a dual 2D CFT. New revised monodromy techniques are developed to encompass all the cases we consider.