2019/09/30 by Francois Delduc, Sylvain Lacroix, Marc Magro +1 · 1 voice · 3 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/s11005-020-01268-y
published as Lett Math Phys (2020) · 37 pages
arxiv published 2019/09/30 · arxiv created 2020/07/29 · arxiv updated 2020/07/30
In the approach recently proposed by K. Costello and M. Yamazaki, which is based on a four-dimensional variant of Chern-Simons theory, we derive a simple and unifying two-dimensional form for the action of many integrable σ-models which are known to admit descriptions as affine Gaudin models. This includes both the Yang-Baxter deformation and the λ-deformation of the principal chiral model. We also give an interpretation of Poisson-Lie T-duality in this setting and derive the action of the E-model.