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Dualities of W-algebras and the W_{\infty}-algebra
时间  Datetime
2019-12-24 10:30 — 11:30 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Andrew Ross Linshaw
单位  Affiliation
University of Denver
邀请人  Host
Cuipo Jiang
报告摘要  Abstract

Abstract: We classify one-parameter vertex algebras that arise as extensions of affine gl_m tensored with a vertex algebra of type W(2,3,\dots), where the extension is generated by 2m fields in a fixed conformal weight which transform as the standard representation of gl_m and its dual. As a consequence, we obtain some new dualities between families of W-algebras and W-superalgebras. We also give a new proof of the coset realization of principal W-algebras of type A that was obtained in my recent work with Arakawa and Creutzig.

 

This is a joint work with T. Creutzig.