Select All
PIRSA:23110073

Video URL

https://pirsa.org/23110073

Building blocks of W-algebras and duality

Nakatsuka, S. (2023). Building blocks of W-algebras and duality. Perimeter Institute for Theoretical Physics. https://pirsa.org/23110073

Shigenori Nakatsuka University of Alberta

Talk numberPIRSA:23110073
DOI10.48660/23110073
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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 Rap\v{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.

---

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