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

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}.

10 pages, version to appear in Physics Letters B

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