Target Space Structure of a Chiral Gauged Wess-Zumino-Witten Model

TL;DR

This paper analyzes a chiral gauged Wess-Zumino-Witten model based on SL(2,R), demonstrating its background fields satisfy string equations and relate to a three-dimensional black string with curvature singularity.

Contribution

It explicitly constructs the background fields of a chiral gauged SL(2,R) WZW model and shows their connection to three-dimensional black string solutions.

Findings

Background fields satisfy string effective action equations

Target space exhibits curvature singularity

Connection to three-dimensional black string established

Abstract

The background for string propagation is obtained by a chiral gauging of the $SL(2,R)$ Wess-Zumino-Witten model. It is shown explicitly that the resulting background fields satisfy the field equations of the three dimensional string effective action and the target space has curvature singularity. Close connection of our solution with the three dimensional black string is demonstrated.