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arXiv · 2610.04835

simple cartan-free modules of finite rank over the super-virasoro algebras

Yang Chen·Yongqi Luo·Yueqiang Zhao
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Abstract

We classify nontrivial simple super-Virasoro modules finitely generated over \(\C[L_0]\) using simple Laurent Weyl algebra modules finite free over \(\C[D]\). The classified modules are finite Cartan-free with equal parity ranks. We also prove finite length without simplicity and construct explicit nonsplit self-extensions.

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Yang Chen, Yongqi Luo, Yueqiang Zhao. 2026-10-04. simple cartan-free modules of finite rank over the super-virasoro algebras. https://arxiv.org/abs/2610.04835

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