Generalized Kahler structures on group manifolds and T-duality

TL;DR

This paper explores generalized Kahler structures on supersymmetric Wess-Zumino-Witten models, demonstrating how T-duality transformations generate different structures, with detailed analysis of SU(2) x U(1) and SU(3) cases.

Contribution

It develops new tools for constructing superspace actions and analyzing generalized Kahler structures, especially in the complex SU(3) case, expanding understanding of T-duality effects.

Findings

T-duality transforms generate various generalized Kahler structures.

Tools for superspace action construction are developed.

SU(3) case analysis reveals complex structure of models.

Abstract

We study generalized Kahler structures on N = (2, 2) supersymmetric Wess-Zumino-Witten models; we use the well known case of SU(2) x U(1) as a toy model and develop tools that allow us to construct the superspace action and uncover the highly nontrivial structure of the hitherto unexplored case of SU(3); these tools should be useful for studying many other examples. We find that different generalized Kahler structures on N = (2, 2) supersymmetric Wess-Zumino-Witten models can be found by T-duality transformations along affine isometries.