Asymptotic dynamics in 3D gravity with torsion

TL;DR

This paper investigates the boundary dynamics of teleparallel 3D gravity with AdS boundary conditions, revealing a connection to Liouville theory and conformal field theory with classical central charge.

Contribution

It demonstrates that teleparallel 3D gravity can be formulated as a Chern-Simons theory and identifies the boundary dynamics as Liouville theory.

Findings

Boundary dynamics are governed by two non-trivial modes.

Boundary theory is related to a conformal field theory with classical central charge.

Teleparallel gravity can be expressed as a Chern-Simons theory.

Abstract

We study the nature of boundary dynamics in the teleparallel 3D gravity. The asymptotic field equations with anti-de Sitter boundary conditions yield only two non-trivial boundary modes, related to a conformal field theory with classical central charge. After showing that the teleparallel gravity can be formulated as a Chern-Simons theory, we identify dynamical structure at the boundary as the Liouville theory.