Gauge Theory And Integrability, II

Kevin Costello, Edward Witten, Masahito Yamazaki
2018 Notices of the International Congress of Chinese Mathematicians  
Starting with a four-dimensional gauge theory approach to rational, elliptic, and trigonometric solutions of the Yang-Baxter equation, we determine the corresponding quantum group deformations to all orders in ħ by deducing their RTT presentations. The arguments we give are a mix of familiar ones with reasoning that is more transparent from the four-dimensional gauge theory point of view. The arguments apply most directly for gl_N and can be extended to all simple Lie algebras other than e_8 by
more » ... taking into account the self-duality of some representations, the framing anomaly for Wilson operators, and the existence of quantum vertices at which several Wilson operators can end.
doi:10.4310/iccm.2018.v6.n1.a7 fatcat:mk57bpnrqfc4bgkvidxpvz7dnm