On the classical Integrability of Poisson-Lie T-dual WZW models

TL;DR

This paper demonstrates that a two-parameter deformation of the Wess-Zumino-Witten model, related to Poisson-Lie T-duality, remains integrable, expanding understanding of dual models in mathematical physics.

Contribution

It proves the integrability of a new family of Poisson-Lie dual WZW models using the Maillet r/s formalism, highlighting their mathematical consistency.

Findings

The deformed models are integrable.

Maillet r/s formalism applies to these models.

Poisson-Lie T-dual models maintain integrability.

Abstract

We consider the integrability of a two-parameter deformation of the Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie T-duality. The resulting family of Poisson-Lie dual models is shown to be integrable by using the Maillet r/s formalism.