Gauged WZW models for space-time groups and gravitational actions

TL;DR

This paper explores gauged WZW models as gravitational theories, analyzing their field equations, black hole solutions, and properties like mass and entropy, with a focus on two-dimensional models with SO(2,1) symmetry.

Contribution

It introduces a detailed study of gauged WZW models for space-time groups as gravitational theories, including explicit solutions and physical properties in two dimensions.

Findings

Black hole solutions with zero mass and entropy

Field equations derived for arbitrary dimensions

Detailed analysis of the SO(2,1) gauge group case

Abstract

In this paper we investigate gauged Wess-Zumino-Witten models for space-time groups as gravitational theories, following the trend of recent work by Anabalon, Willison and Zanelli. We discuss the field equations in any dimension and study in detail the simplest case of two space-time dimensions and gauge group SO(2,1). For this model we study black hole solutions and we calculate their mass and entropy which resulted in a null value for both.