Abstract
We consider the mixed topological-holomorphic Chern-Simons theory introduced by Costello, Yamazaki & Witten on a ℤ2 orbifold. We use this to construct semi- classical solutions of the boundary Yang-Baxter equation in the elliptic and trigonometric cases. A novel feature of the trigonometric case is that the ℤ2 action lifts to the gauge bundle in a z-dependent way. We construct several examples of K -matrices, and check that they agree with cases appearing in the literature.
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Bittleston, R., Skinner, D. Gauge theory and boundary integrability. Part II. Elliptic and trigonometric cases. J. High Energ. Phys. 2020, 80 (2020). https://doi.org/10.1007/JHEP06(2020)080
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DOI: https://doi.org/10.1007/JHEP06(2020)080