Building blocks of W-algebras and duality
APA
Nakatsuka, S. (2023). Building blocks of W-algebras and duality. Perimeter Institute. https://pirsa.org/23110073
MLA
Nakatsuka, Shigenori. Building blocks of W-algebras and duality. Perimeter Institute, Nov. 23, 2023, https://pirsa.org/23110073
BibTex
@misc{ pirsa_PIRSA:23110073, doi = {10.48660/23110073}, url = {https://pirsa.org/23110073}, author = {Nakatsuka, Shigenori}, keywords = {Mathematical physics}, language = {en}, title = {Building blocks of W-algebras and duality}, publisher = {Perimeter Institute}, year = {2023}, month = {nov}, note = {PIRSA:23110073 see, \url{https://pirsa.org}} }
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.
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Zoom link https://pitp.zoom.us/j/92163414611?pwd=a1A5NHUrbEpxUUVuS3pEd1VYQk5kdz09