# Yang-Baxter $\sigma$-model with WZNW term as ${ \mathcal E}$-model

## TL;DR

This paper demonstrates that the Yang-Baxter sigma model with WZNW term can be formulated as an ${\mathcal E}$-model, linking it to the broader class of integrable models relevant in Poisson-Lie T-duality.

## Contribution

It establishes that the Yang-Baxter sigma model with WZNW term is an ${\mathcal E}$-model, expanding the class of models understood within this framework.

## Key findings

- Yang-Baxter sigma model with WZNW term is an ${\mathcal E}$-model
- Connects integrable sigma models to Poisson-Lie T-duality framework
- Provides a new perspective on the structure of these models

## Abstract

It turns out that many integrable $\sigma$-models on group manifolds belong to the class of the so-called ${ \mathcal E}$-models which are relevant in the context of the Poisson-Lie T-duality. We show that this is the case also for the Yang-Baxter $\sigma$-model with WZNW term introduced by Delduc, Magro and Vicedo in \cite{DMV15}.