Dualities of W-algebras and the W_{\infty}-algebra

：Dr. Andrew R.Linshaw
：2019-12-18 16:30
：实验楼105

       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：实验楼105

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.

 Speaker  Introduction：Andrew R. Linshaw， 美国University of Denver副教授， 研究领域：Representation theory, invariant theory, vertex algebras infinite-dimensional Lie algebras， 研究成果发表在《Invent. Math.》，《 J. Eur. Math. Soc.》，《 Amer. J. Math.》，《 Comm. Math. Phys.》等国际重要学术期刊。

 

 

 联系人：王清教授