Speaker：Jinwei Yang (Shanghai Jiao Tong University)

Time：2021-10-27 14:40

Location：Tencent Meeting ID：160 593 304（No Password）

Abstract:

Tensor categories of vertex operator algebras play an important role in representation theory of vertex operator algebras and conformal field theories. A central problem of tensor category theory is the existence of the vertex tensor category structure. We develop a few general methods to establish the existence of tensor structure on module categories for vertex operator algebras, based on Huang-Lepowsky-Zhang's logarithmic tensor category theory. As applications, we obtain the tensor structure of affine Lie algebras at various levels, affine Lie superalgebra gl(1|1) and the Virasoro algebra at all central charges.