Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules
Representation Theory
2024-03-20 v3
Abstract
In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of these functors are investigated, with an emphasis on irreducibility preservation and natural isomorphisms. By utilizing these functors, we recover some old irreducible super-Virasoro modules, including those from the irreducible intermediate series as well as irreducible -free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors.
Cite
@article{arxiv.2111.10691,
title = {Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules},
author = {Haibo Chen and Xiansheng Dai and Dong Liu and Yufeng Pei},
journal= {arXiv preprint arXiv:2111.10691},
year = {2024}
}