PIRSA ID: 23110073

Series:

Event Type: Seminar

Scientific Area(s): Mathematical Physics

End date: 2023-11-23

Speaker(s): Shigenori Nakatsuka Shigenori Nakatsuka University of Alberta

November 23, 2023 at 11:00 AM

Space Room

 

W-algebras are a family of vertex algebras obtained as Hamiltonian reductions of affine vertex algebras parametrized by nilpotent orbits. The W-algebras associated with regular nilpotent orbits enjoy the Feigin-Frenkel duality. More recently, Gaiotto and Rapv{c}'ak generalize this result to hook-type W-algebras with the triality for vertex algebras at the corner. In this talk, I will present the correspondence of representation categories for the hook-type W-superalgebras and how to gain general W-algebras in type A from hook-type W-algebras. The talk is based on joint works with my collaborators.

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Zoom link https://pitp.zoom.us/j/92163414611?pwd=a1A5NHUrbEpxUUVuS3pEd1VYQk5kdz09