Perturbed N=(2,2) supersymmetric sigma models on Lie groups

TL;DR

This paper investigates conditions under which N=(2,2) supersymmetry is preserved in perturbed supersymmetric sigma models on Lie groups, using algebraic methods and non-coordinate bases, with applications to Poisson-Lie T-duality.

Contribution

It introduces algebraic conditions for preserving N=(2,2) supersymmetry in perturbed sigma models on Lie groups, including the Drinfeld action, using a novel non-coordinate basis approach.

Findings

Derived algebraic conditions for supersymmetry preservation.

Applied conditions to the Drinfeld action for Poisson-Lie T-duality.

Provided a framework for analyzing supersymmetry in perturbed models.

Abstract

We perturbed N=(2,2) supersymmetric WZW and sigma models on Lie groups by adding a term to their actions. Then by using non-coordinate basis we obtain conditions, from the algebraic point of view, under which the N=(2,2) supersymmetry is preserved. By applying this method, we have obtained conditions on the existence of N=(2,2) supersymmetry on the Drinfeld action (master action for the Poisson-Lie T-dual sigma models).