Hypergroup orbifolds of vertex operator algebras

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• Terry Gannon (University of Alberta)
• Friday 30 June 2023, 13:30-14:30
• Seminar Room 1, Newton Institute.

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

We have an effective theory for understanding how to extend a chiral conformal field theory—e.g. it has been applied recently to classify all extensions of the chiral theories associated to affine Lie algebras. But going in the other direction, from the bigger theory to a smaller one, is a different story. The main method we have is looking at fixed points of a subgroup of automorphisms, but this is far from complete. Bischoff explained recently the general situation for conformal nets: the smaller theory is fixed points by a hypergroup acting on the bigger theory. His argument is not at all effective, and it isn’t clear how it looks for vertex operator algebras. I will try to address hoth in my talk. This is joint work with my grad student, Andrew Riesen.

This talk is part of the Isaac Newton Institute Seminar Series series.

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