Asymptotic symmetries in 3d gravity with torsion

TL;DR

This paper investigates the asymptotic symmetries in three-dimensional gravity with torsion, revealing that they form a Virasoro algebra with a classical central charge similar to standard general relativity.

Contribution

It demonstrates that the asymptotic symmetry algebra in 3d gravity with torsion is the Virasoro algebra with a specific central charge, extending previous results to include torsion effects.

Findings

Asymptotic symmetry algebra is Virasoro with classical central charge

Central charge value matches that of general relativity: c=3l/2G

Torsion does not alter the form of the asymptotic symmetry algebra

Abstract

We study the nature of asymptotic symmetries in topological 3d gravity with torsion. After introducing the concept of asymptotically anti-de Sitter configuration, we find that the canonical realization of the asymptotic symmetry is characterized by the Virasoro algebra with classical central charge, the value of which is the same as in general relativity: c=3l/2G.