Author:
Bittleston Roland,Skinner David
Abstract
Abstract
We study the mixed topological/holomorphic Chern-Simons theory of Costello, Witten and Yamazaki on an orbifold (Σ×ℂ)/ℤ2, obtaining a description of lattice integrable systems in the presence of a boundary. By performing an order ℏ calculation we derive a formula for the the asymptotic behaviour of K-matrices associated to rational, quasi-classical R-matrices. The ℤ2-action on Σ × ℂ fixes a line L, and line operators on L are shown to be labelled by representations of the twisted Yangian. The OPE of such a line operator with a Wilson line in the bulk is shown to give the coproduct of the twisted Yangian. We give the gauge theory realisation of the Sklyanin determinant and related conditions in the RTT presentation of the boundary Yang-Baxter equation.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference39 articles.
1. K. Costello, Supersymmetric gauge theory and the Yangian, arXiv:1303.2632 [INSPIRE].
2. K. Costello, E. Witten and M. Yamazaki, Gauge Theory and Integrability, I, arXiv:1709.09993 [INSPIRE].
3. K. Costello, E. Witten and M. Yamazaki, Gauge Theory and Integrability, II, arXiv:1802.01579 [INSPIRE].
4. A. Belavin and V. Drinfel’d, Solutions of the Classical Yang-Baxter Equation for Simple Lie Algebras, Func. Anal. Appl.
16 (1982) 159.
5. V. Drinfel’d, Hopf Algebras and the Quantum Yang-Baxter Equation, in Yang-Baxter Equation in Integrable Systems, World Scientific, Singapore (1990), pg. 264.
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