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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• Integrable flows between exact CFTs
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• Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• On integrability of 2-dimensional $\sigma$-models of Poisson-Lie type
• On strong integrability of the dressing cosets
• Yang-Baxter deformation of WZW model based on Lie supergroups: The cases of $GL(1|1)$ and $(C^3+A)$
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Yang-Baxter deformations of the $GL(2,\mathbb{R})$ WZW model and non-Abelian T-duality
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Yang-Baxter deformations of the OSP(1|2) WZW model