Integrable systems associated to Lie superalgebras

Uhi Rinn Suh, Seoul National University

The connection between integrable systems and Lie algebras was first discovered by Drinfeld and Sokolov. Afterwards, De Sole-Kac-Valeri generalized the theory by considering a bigger family of W-algebras associated to Lie algebras. A natural question is if we can do a similar thing with W-algebras associated to Lie superalgebras.

In this talk, I will explain my recent results on this topic.