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Gauge theory and boundary integrability. Part II. Elliptic and trigonometric cases

Published version
Peer-reviewed

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Authors

Bittleston, Roland 
Skinner, David 

Abstract

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.

Description

Keywords

Regular Article - Theoretical Physics, Chern-Simons Theories, Lattice Integrable Models, Wilson, ’t Hooft and Polyakov loops

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479

Volume Title

2020

Publisher

Springer Berlin Heidelberg