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Résumé |
I will describe a novel variant of unitarity for vertex algebras/chiral algebras,
which arises naturally 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 then 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. |
