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arXiv · 2111.10691

Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules

Haibo Chen·Xiansheng Dai·Dong Liu·Yufeng Pei
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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 $U(\mathfrak{h})$-free modules. Additionally, we provide several families of new irreducible super-Virasoro modules via our constructed functors.

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Haibo Chen, Xiansheng Dai, Dong Liu, Yufeng Pei. 2024-03-19. Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules. https://arxiv.org/abs/2111.10691

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