Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.04835

Authors: Chen, Yang, Luo, Yongqi, Zhao, Yueqiang

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Nanhu Scholars Program for Young Scholars of Xinyang Normal University

Award: G2852939171

OpenAlex ID: W7220695444

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