Speaker： Dr. Andrew R.Linshaw

                         Univ. of Denver

       Title:   Dualities of W-algebras and

                  the W_{\infty}-algebra

       Time：18 Dec 2019, 16:30

Location：Conference Room 105 at Experiment Building at Haiyun Campus

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 its dual. As a consequence, we obtain some new dualities between families of W-algebras 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 Creutzig. This is a joint work with T. Creutzig.