N=1 supersymmetric path-integral Poisson-Lie duality

TL;DR

This paper extends the path-integral approach to Poisson-Lie duality within N=1 supersymmetric sigma-models, providing a framework for non-abelian duality and discussing related background and implications.

Contribution

It introduces a supersymmetric extension of the path-integral formulation of Poisson-Lie duality, including explicit generator representations for the Drinfel'd double.

Findings

Extended the duality framework to N=1 supersymmetric models

Provided explicit generator representations for Drinfel'd double

Discussed applications to non-abelian duality

Abstract

We extend the path-integral formulation of Poisson-Lie duality found by Tyurin and von Unge to N=1 supersymmetric sigma-models. Using an explicit representation of the generators of the Drinfel'd double corresponding to GxU(1)^dimG we discuss an application to non-abelian duality. The paper also contains the relevant background and some comments on Poisson-Lie duality.