Building blocks of W-algebras and duality

PIRSA ID: 23110073
Series: Mathematical Series
Event Type: Seminar
Scientific Area(s):
Mathematical Physics
End date:
Speaker(s):
  • 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