Duality of W-superalgebras and beyond

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• Shigenori Nakatsuka (University of Alberta)
• Thursday 20 June 2024, 16:45-17:15
• External.

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TRHW02 - International Conference

W-superalgebras are a class of vertex superalgebras consisting of affine vertex superalgebras and their quantum Hamiltonian reductions associated with nilpotent orbits. For the regular nilpotent orbit, the W-algebras are known to enjoy duality found by Feigin and Frenkel. Recently, this duality has been generalized to W-superalgebras associated with certain hook-type nilpotent orbits. In this talk, I will discuss this generalized duality with its applications to the representation theory and the relationships of W-algebras beyond hook-type.

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

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