From vertex algebras to simple Lie algebras (and back again)


Russell Love Theatre
Peter Hall
Monash Road


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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
    David Ridout, University of Melbourne