Near-horizon geometry with torsion

TL;DR

This paper explores the near-horizon geometry of rotating BTZ black holes with torsion, revealing a generalized AdS self-dual orbifold structure and its asymptotic symmetry algebra.

Contribution

It introduces the analysis of torsion effects on near-horizon geometry and derives the associated asymptotic symmetry algebra.

Findings

Near-horizon geometry generalizes AdS self-dual orbifold with torsion

Asymptotic symmetry algebra includes chiral Virasoro and u(1) Kac-Moody

Torsion influences the structure of near-horizon geometries

Abstract

We investigate near-horizon geometry of the rotating Ba\~nados Teiteilboim Zanelli (BTZ) black hole with torsion. Our main motivation is to gain insight into the role of torsion in the near-horizon geometry, which is well understood in the Riemannian case. We obtain that near-horizon geometry represents a generalization of AdS self-dual orbifold with non-trivial torsion. We analyze its asymptotic structure and derive the corresponding algebra of asymptotic symmetries, which consists of chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebra.