Cluster Integrable Systems and Supersymmetric Gauge Theories

Zoom seminar hosted by QG unit.
Speaker: Andrei Marshakov, Professor of Mathematical Physics
Affiliations: Center for Advanced Studies, Skoltech; HSE University; ITEP; Lebedev Physics Institute
Title: "Cluster integrable systems and supersymmetric gauge theories"

I am going to consider a class of integrable systems on cluster varieties, motivated by their relation to non-perturbative supersymmetric gauge theories. Apart of combinatorial definition by Goncharov and Kenyon these systems can be defined on Poisson submanifolds in Lie groups, and have some simple geometric properties, which allow to study effectively their deautonomization. The most impressive point, is that solutions to non-autonomous equations are given by dual Nekrasov functions of 5d supersymmetric Yang-Mills theories.