Poisson-Lie T-duality in N=2 Superconformal Field Theories

TL;DR

This paper explores the extension of Poisson-Lie T-duality to N=2 superconformal WZNW models, revealing their inherent Poisson-Lie symmetry and enabling the construction of dual sigma models.

Contribution

It introduces a supersymmetric generalization of Poisson-Lie T-duality for N=2 superconformal WZNW models, highlighting their natural Poisson-Lie symmetry.

Findings

Identification of Poisson-Lie symmetry in N=2 superconformal WZNW models

Construction method for dual sigma models based on this symmetry

Extension of T-duality concepts to supersymmetric conformal field theories

Abstract

The supersymmetric generalization of Poisson-Lie T-duality in superconformal WZNW models is considered. It is shown that the classical N=2 superconformal WZNW models posses a natural Poisson-Lie symmetry which allows to construct dual $\sigma$- models.