Four Dimensional 2-Brane Solution in Chiral Gauged Wess-Zumino-Witten Model

TL;DR

This paper constructs an exact four-dimensional 2-brane solution within a conformal field theory framework using a chiral gauged Wess-Zumino-Witten model, revealing a curved spacetime with a true singularity.

Contribution

It introduces a novel exact conformal field theory model for a 2-brane in four dimensions based on a specific gauged WZW theory.

Findings

Explicit string backgrounds are derived.

The target space contains a genuine curvature singularity.

The model advances understanding of brane solutions in string theory.

Abstract

An exact conformal field theory describing a four dimensional 2-brane solution is found by considering a chiral gauged Wess-Zumino -Witten theory corresponding to $SL(2, R)\times R$ , where one gauges the one dimensional $U(1)$ subgroup together with a translation in $R$. The backgrounds for string propagation are explicitly obtained and the target space is shown to have a true curvature singularity.