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arXiv · 2009.00341

Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term

B. Hoare·S. Lacroix
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Abstract

A large class of integrable deformations of the Principal Chiral Model, known as the Yang-Baxter deformations, are governed by skew-symmetric R-matrices solving the (modified) classical Yang-Baxter equation. We carry out a systematic investigation of these deformations in the presence of the Wess-Zumino term for simple Lie groups, working in a framework that treats both inhomogeneous and homogeneous deformations on the same footing. After analysing the cohomological conditions under which such a deformation is admissible, we consider an action for the general Yang-Baxter deformation of the Principal Chiral Model plus Wess-Zumino term and prove its classical integrability. We also show how the model is found from a number of alternative formulations: affine Gaudin models, E-models, 4-dimensional Chern-Simons theory and, for homogeneous deformations, non-abelian T-duality.

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B. Hoare, S. Lacroix. 2020-09-01. Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term. https://doi.org/10.1088/1751-8121%2Fabc43d

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