Speaker
Chris Beem
Description
I will describe the variant of unitarity for vertex algebras/chiral algebras that holds for those algebras related to four-dimensional N=2 SCFTs via the SCFT/VOA correspondence. (A weakened version also applies to a large class of boundary VOAs for three-dimensional N=4 theories.) I will survey some (very partial) classification results for graded unitary VOAs under strong technical assumptions. Time allowing, I will outline some neat consequences of graded unitarity for certain BRST complexes arising from three- and four- dimensional gauge theories.