Deformations and Geometric Cosets

TL;DR

This paper reviews marginal deformations of SU(2) and SL(2,R) WZW models, focusing on asymmetric deformations leading to exact geometric cosets like S2 and AdS2, with implications for string theory brane configurations.

Contribution

It provides a detailed analysis of asymmetric deformations in WZW models and their role in forming exact geometric cosets relevant for string theory.

Findings

Identification of critical values where target spaces become exact cosets

Connection between deformations and NS5/F1 brane moduli space

Potential for generalizations to flag space solutions

Abstract

I review some marginal deformations of SU(2) and SL(2,R) Wess-Zumino-Witten models, which are relevant for the investigation of the moduli space of NS5/F1 brane configurations. Particular emphasis is given to the asymmetric deformations, triggered by electric or magnetic fluxes. These exhibit critical values, where the target spaces become exact geometric cosets such as S2 = SU(2)/U(1) or AdS2 = SL(2,R)/U(1)-space. I comment about further generalizations towards the appearance of flag spaces as exact string solutions.