Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$

Yan-an Cai; Rencai Lü

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arXiv · 2501.04230

Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$

Yan-an Cai·Rencai Lü

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Abstract

In this paper, we classify all simple jet modules for contact superconformal algebras $\mathcal{K}(N;\epsilon)$ with $N\neq4$. Then all simple quasifinite modules for $\widehat{\mathcal{K}}(N;\epsilon)$ ($N\neq4$), the universal central extension of $\mathcal{K}(N;\epsilon)$, are classified. Our results show that Mat\'{i}nez-Zelmanov's conjecture in \cite{MZe1} holds for $\mathcal{K}(N;\epsilon)$ ($N\ne4$).

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BibTeX RIS

Yan-an Cai, Rencai Lü. 2025-01-08. Classification of simple quasifinite modules for contact superconformal algebras with $N\ne4$. https://arxiv.org/abs/2501.04230

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