Nonabelian Fields in Exact String Solutions

TL;DR

This paper constructs exact string solutions involving nonabelian gauge fields within anomalously gauged WZW models, exploring both compact and noncompact groups and their associated conformal theories.

Contribution

It introduces new solutions with nonabelian fields in string theory using anomalously gauged WZW models, including explicit examples with various coset spaces.

Findings

Constructed solutions with nonabelian fields in string backgrounds.

Analyzed conformal theories on specific coset spaces like SO(4)/SO(3).

Extended the framework to noncompact groups such as SO(2,1)/SO(1,1).

Abstract

Within the framework of "anomalously gauged" Wess-Zumino-Witten (WZW) models, we construct solutions which include nonabelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of background containing nonabelian fields, we discuss conformal theory on the $SO(4)/SO(3)$ coset, which is the natural generalization of the 2D monopole theory corresponding to the $SO(3)/SO(2)$ coset. In noncompact case, we consider examples with $SO(2,1)/SO(1,1)$ and $SO(3,2)/SO(3,1)$ cosets.