Near horizon OTT black hole asymptotic symmetries and soft hair

TL;DR

This paper investigates the near horizon geometry of extremal OTT black holes, revealing their asymptotic symmetries include Virasoro and Kac-Moody algebras, which could relate to black hole soft hair and quantum properties.

Contribution

It introduces consistent asymptotic conditions for extremal OTT black holes and analyzes their symmetry structures, including the derivation of algebraic symmetries for rotating cases.

Findings

Asymptotic symmetry algebra includes Virasoro and Kac-Moody structures.

Canonical generator for static OTT black hole is shown to be regular.

Rotating OTT black hole exhibits rich symmetry including time reparametrization.

Abstract

We study the near horizon geometry of both static and stationary extremal Oliva Tempo Troncoso (OTT) black holes. For each of these cases, a set of consistent asymptotic conditions is introduced. The canonical generator for the static configuration is shown to be regular. For the rotating OTT black hole, the asymptotic symmetry is described by the time reparametrization, the chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebras.