On the structure of some subregular W-algebras

Abstract: One of the most important families of vertex algebras are affine vertex algebras and their associated W-algebras, which are connected to various aspects of geometry and physics. The structure and representation theory of a given $\mathcal{W}$-algebra depends largely on the type of nilpotent element used in the construction, and in most cases results cannot be obtained using a direct approach. In this talk I will present some recent results about duality and representation theory of certain subregular W-algebras at integer levels.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.