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

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arxiv 1706.08912 v2 pith:2K7Q2576 submitted 2017-06-27 hep-th

Ctirad Klimcik This is my paper · ORCID
classification hep-th
keywords modelsigmamathcalmodelstermwznwyang-baxterbelong
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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}.

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  1. Integrable deformations of dimensionally reduced gravity

    hep-th 2025-02 conditional novelty 6.0 of 10

    Auxiliary field and Yang-Baxter deformations of D=2 dimensionally reduced gravity are shown to admit flat Lax representations, with the auxiliary field case preserving the Hamiltonian integrability structure.

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