PIRSA:20050056

Twisted superconformal algebras and representations of higher Virasoro algebras

APA

Williams, B. (2020). Twisted superconformal algebras and representations of higher Virasoro algebras. Perimeter Institute. https://pirsa.org/20050056

MLA

Williams, Brian. Twisted superconformal algebras and representations of higher Virasoro algebras. Perimeter Institute, May. 27, 2020, https://pirsa.org/20050056

BibTex

          @misc{ pirsa_20050056,
            doi = {10.48660/20050056},
            url = {https://pirsa.org/20050056},
            author = {Williams, Brian},
            keywords = {Mathematical physics},
            language = {en},
            title = {Twisted superconformal algebras and representations of higher Virasoro algebras},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {may},
            note = {PIRSA:20050056 see, \url{https://pirsa.org}}
          }
          

Brian Williams Northeastern University

Abstract

(Super)conformal algebras on two-dimensional spacetimes play a ubiquitous role in representation theory and conformal field theory. In most cases, however, superconformal algebras are finite dimensional. In this talk, we introduce refinements of certain deformations of superconformal algebras which share many facets with the ordinary (super) Virasoro algebras. Representations of these refinements include the higher dimensional Kac—Moody algebras, and many more motivated by physics. Finally, we will show how these algebras enhance to higher dimensional chiral/factorization algebras which upon ``localization" deform to well-studied chiral algebras on Riemann surfaces.