Deformations of WZW models

TL;DR

This paper explores how WZW models for semisimple compact groups can be deformed using current-current interactions, starting from simple abelian cases and extending to more complex non-abelian and higher-rank groups.

Contribution

It systematically analyzes current-current deformations of WZW models across different group structures and ranks using a sigma model approach.

Findings

Deformation techniques for U(1) WZW models are established.

Extension to SU(2) models with non-abelian structures is demonstrated.

Generalization to higher-rank semisimple groups is achieved.

Abstract

Current-current deformations for WZW models of semisimple compact groups are discussed in a sigma model approach. We start with the abelian rank one group U(1). Afterwards, we keep the rank one but allow for non abelian structures by considering SU(2). Finally, we present the general case of rank larger than one.