Critical points of the Exotic Massive 3D Gravity

TL;DR

This paper investigates the conserved charges and conformal anomalies in Exotic Massive 3D Gravity, a higher-order extension of Topologically Massive Gravity, focusing on their implications for the theory's phase space and boundary conditions.

Contribution

It provides an analysis of the central charges and conformal anomalies in EMG, clarifying their roles in the theory's asymptotic structure and phase space.

Findings

Determined the values of the central charges in EMG.

Analyzed the conformal anomaly related to the phase space.

Connected boundary conditions with the Virasoro algebra structure.

Abstract

Exotic Massive 3D Gravity (EMG) is a higher order generalization of Topologically Massive Gravity. As in other theories of this sort, the conserved charges associated to the asymptotic diffeomorphisms that preserve the boundary conditions in AdS3 spacetime span two copies of the Virasoro algebra with non-vanishing central charges. Here, we discuss the values of these central charges and the corresponding conformal anomaly in relation to the phase space of the theory.