Novel CFT Duals for Extreme Black Holes

TL;DR

This paper explores the dual conformal field theories (CFTs) for various extreme black holes using the stretched horizon formalism, proposing new duals in higher dimensions and analyzing symmetries related to angular momenta.

Contribution

It demonstrates that the stretched horizon formalism reproduces known CFT duals and introduces novel duals for higher-dimensional black holes based on angular symmetries and modular groups.

Findings

Reproduces established CFT duals for extremal black holes.

Proposes new CFT duals for 4D and higher-dimensional Kerr-Newman-AdS-dS black holes.

Identifies the role of U(1) symmetries and modular groups in generating duals.

Abstract

In this paper, we study the CFT duals for extreme black holes in the stretched horizon formalism. We consider the extremal RN, Kerr-Newman-AdS-dS, as well as the higher dimensional Kerr-AdS-dS black holes. In all these cases, we reproduce the well-established CFT duals. Actually we show that for stationary extreme black holes, the stretched horizon formalism always gives rise to the same dual CFT pictures as the ones suggested by ASG of corresponding near horizon geometries. Furthermore, we propose new CFT duals for 4D Kerr-Newman-AdS-dS and higher dimensional Kerr-AdS-dS black holes. We find that every dual CFT is defined with respect to a rotation in certain angular direction, along which the translation defines a U(1) Killing symmetry. In the presence of two sets of U(1) symmetry, the novel CFT duals are generated by the modular group $SL(2,\mb Z)$, and for $n$ sets of U(1) symmetry there are general CFT duals generated by T-duality group $SL(n,\mb Z)$.