Gauge Theory and Boundary Integrability II: Elliptic and Trigonometric Case
Abstract
We consider the mixed topological-holomorphic Chern-Simons theory introduced by Costello, Yamazaki and 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 they agree with cases appearing in the literature.
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