Gauge Theory And Integrability, II
Kevin Costello, Edward Witten, Masahito Yamazaki
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
... 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.