Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity

TL;DR

This paper demonstrates a correspondence between the asymptotic structures of spacelike stretched AdS gravity and an $SL(2,R)\times U(1)$ Chern-Simons gauge theory, revealing a new connection in their formulations.

Contribution

It establishes a novel link between topologically massive gravity in spacelike stretched AdS space and Chern-Simons gauge theory through asymptotic structure analysis.

Findings

Identification of asymptotic structures between the two theories

Mapping of fields and coupling constants

Potential implications for understanding AdS/CFT correspondence

Abstract

We show that the asymptotic structures of topologically massive gravity in the spacelike stretched AdS sector and an $SL(2,R)\times U(1)$ Chern-Simons gauge theory can be identified by adopting a natural correspondence between their fields and coupling constants.