Yang-Baxter deformations of the AdS${}_5\times$S${}^5$ supercoset sigma model from 4D Chern-Simons theory

Abstract

We present homogeneous Yang-Baxter deformations of the AdS${}_5\times$S${}^5$ supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedure for the 2D principal chiral model developed by Delduc et al [arXiv:1909.13824] so as to reproduce the 2D symmetric coset sigma model, and specify boundary conditions governing homogeneous Yang-Baxter deformations. Then the conditions are applicable for the AdS${}_5\times$S${}^5$ supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter deformation is also discussed.

arXiv comment26 pages, v2: title changed, further clarifications added

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• 't Hooft lines of ADE-type and Topological Quivers
• Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory
• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• 4D Chern-Simons theory with auxiliary fields
• Superspin Chains Solutions from 4D Chern-Simons Theory
• The Courant-Hilbert construction in 4D Chern-Simons theory
• 3-dimensional mixed BF theory and Hitchin's integrable system
• Contact 4d Chern-Simons theory: Generalities
• Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory