In this paper I study Wilson line operators in a certain type of split Chern-Simons theory on a manifold with boundaries. The resulting gauge theory is a 3d topological BF theory equivalent to a topologically twisted 3d $\mathcal N=4$ theory. I show that this theory realises solutions to the quantum Yang-Baxter equation all orders in perturbation theory as the expectation value of crossing Wilson lines.
Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters
Finite Groups and Quantum Yang-Baxter Equation
Solutions of quantum Yang-Baxter equation related to $U_q (gl(2))$ algebra and associated integrable lattice models
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