PIRSA:20100064

Nilpotent Slodowy slices and W-algebras

Moreau, A. (2020). Nilpotent Slodowy slices and W-algebras. Perimeter Institute. https://pirsa.org/20100064

Moreau, Anne. Nilpotent Slodowy slices and W-algebras. Perimeter Institute, Oct. 29, 2020, https://pirsa.org/20100064 

          @misc{ pirsa_PIRSA:20100064,
            doi = {10.48660/20100064},
            url = {https://pirsa.org/20100064},
            author = {Moreau, Anne},
            keywords = {Mathematical physics},
            language = {en},
            title = {Nilpotent Slodowy slices and W-algebras},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {oct},
            note = {PIRSA:20100064 see, \url{https://pirsa.org}}
          }

Anne Moreau

University of Poitiers

Talk number
PIRSA:20100064
Collection
Talk Type
Subject
Abstract

To any vertex algebra one can attach in a canonical way a certain Poisson variety, called the associated variety. Nilpotent Slodowy slices appear as associated varieties of admissible (simple) W-algebras. They also appear as Higgs branches of the Argyres-Douglas theories in 4d N=2 SCFT’s. These two facts are linked by the so-called Higgs branch conjecture. In this talk I will explain how to exploit the geometry of nilpotent Slodowy slices to study some properties of W-algebras whose motivation stems from physics. This is a joint work with Tomoyuki Arakawa and Jethro van Ekeren (still in preparation).