On twisted ϕ-coordinated modules for N-graded conformal vertex superalgebras

：李海生（美国Rutgers University）
：2026-01-13 15:30
：海韵园行政楼C503

报告人：李海生（美国Rutgers University）

时  间：2026年1月13日15:30

地  点：海韵园行政楼C503

内容摘要:

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.

个人简介：

Professor Haisheng Li, his main research is on vertex operator algebras and quantum vertex algebras. Among the main results are conceptual constructions of vertex algebras and their modules, twisted modules; A theory of quasi modules; A theory of (weak) quantum vertex algebras and $\phi$-coordinated modules; A conceptual association of double Yangians and quantum affine algebras with quantum vertex algebras.

 

联系人：王清