Dressing cosets revisited

TL;DR

This paper provides an algebraic derivation of dressing cosets in Poisson-Lie T-duality and extends the framework to include dual models previously not considered, integrating Sfetsos's dualisable models.

Contribution

It introduces an alternative algebraic derivation of dressing cosets and generalizes the duality framework to encompass additional dualisable models.

Findings

Derived dual pairs of nonlinear sigma-models algebraically

Generalized the duality to include models from Sfetsos

Enhanced understanding of Poisson-Lie T-duality structure

Abstract

We present an alternative algebraic derivation of the dual pair of nonlinear $\sigma$-models based on the 'dressing cosets' extension of the Poisson-Lie $T$-duality \cite{KS1}. Then we generalize the result to dual pairs of Lagrangians not considered in \cite{KS1}. Our generalization turns out to incorporate the dualisable models constructed by Sfetsos in \cite{Sfet1}.