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

TL;DR

This paper derives the Faddeev-Reshetikhin model from a 4D Chern-Simons theory with surface defects and introduces a trigonometric deformation using a Drinfeld-Jimbo R-operator, extending previous work on surface defects.

Contribution

It presents a derivation of the FR model from 4D Chern-Simons theory and introduces a novel trigonometric deformation with boundary conditions involving a Drinfeld-Jimbo R-operator.

Findings

Derived the FR model from 4D Chern-Simons theory with surface defects.

Introduced a trigonometric deformation using a Drinfeld-Jimbo R-operator.

Extended previous work from disorder to order surface defects.

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.