Title: Discrete holomorphicity and quantized affine algebras
Speaker: Paul ZINN-JUSTIN Universite Pierre et Marie-Curie (Paris 6)
Date: 10 September 2013
Time: 4:00 - 5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
We consider non-local currents in the context of quantized affine algebras. In two special cases, these currents can be identified with configurations in the six-vertex and Izergin–Korepin nineteen-vertex models. Mapping these to their corresponding Temperley–Lieb loop models, we directly identify non-local currents with discretely holomorphic loop observables. In particular, we show that the bulk discrete holomorphicity relation and its recently derived boundary analogue are equivalent to conservation laws for non-local currents. Joint with Y. Ikhlef, R. Weston and M. Wheeler.