From vertex algebras to simple Lie algebras (and back again)
The representation theory of affine vertex algebras is central to mathematicians studying W-algebras and physicists studying 4d/2d correspondences. In many cases, the highest-weight modules have already been well-understood. However, an open question is how to generalise this to larger module categories. I will describe recent work with Kazuya Kawasetsu that answers this question for weight modules with finite-dimensional weight spaces.
David Ridout, University of Melbourne