Speaker：Haisheng Li (Rutgers University)

Time：2026-1-13 14:30

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

For various purposes, in addition to the traditional theories of modules and twisted modules, the theories of quasi modules, ϕ-coordinated modules, and twisted ϕ-coordinated modules were developed for quantum vertex algebras including vertex super-algebras. The most general theory is (arguably) that of twisted ϕ-coordinated quasi modules. In this talk, as an illustrating example we shall use a family of infinite-dimensional Lie superalgebras, introduced by Lü, You, and Zhao, called the (d,σ)-twisted affine-Virasoro Lie superalgebras, to give a natural connection of this family of Lie super-algebras with N-graded conformal vertex superalgebras in terms of (ordinary) modules, ϕ-coordinated modules, and twisted ϕ-coordinated modules. This talk is based on joint work with Kaiming Zhao.