The Faddeev-Reshetikhin model from a 4D Chern-Simons theory

Abstract

We derive the Faddeev-Reshetikhin (FR) model from a four-dimensional Chern- Simons theory with two order surface defects by following the work by Costello and Yamazaki [arXiv:1908.02289]. Then we present a trigonometric deformation of the FR model by employing a boundary condition with an R-operator of Drinfeld-Jimbo type. This is a generalization of the work by Delduc, Lacroix, Magro and Vicedo [arXiv:1909.13824] from the disorder surface defect case to the order one.

arXiv comment20 pages

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Cited by in corpus (13)

• 4-dimensional Chern-Simons theory and integrable field theories
• Sigma models as Gross-Neveu models
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• Deformed Integrable Models from Holomorphic Chern-Simons Theory
• Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory
• Higher Gauge Theory and Integrability
• 4D Chern-Simons theory with auxiliary fields
• The Courant-Hilbert construction in 4D Chern-Simons theory
• 3-dimensional mixed BF theory and Hitchin's integrable system
• Topological 4D gravity and gravitational defects
• Integrable models from 4d holomorphic BF theory