Building blocks of W-algebras and duality


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


Nakatsuka, Shigenori. Building blocks of W-algebras and duality. Perimeter Institute, Nov. 23, 2023, https://pirsa.org/23110073


          @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}}

Shigenori Nakatsuka University of Alberta



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