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arXiv · 1711.00985

Modular Virasoro Vertex Algebras and Affine Vertex Algebras

Xiangyu Jiao·Haisheng Li·Qiang Mu
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Abstract

In this paper, we study Virasoro vertex algebras and affine vertex algebras over a general field of characteristic $p>2$. More specifically, we study certain quotients of the universal Virasoro and affine vertex algebras by ideals related to the $p$-centers of the Virasoro algebra and affine Lie algebras. Among the main results, we classify their irreducible $\mathbb{N}$-graded modules by explicitly determining their Zhu algebras and show that these vertex algebras have only finitely many irreducible $\mathbb{N}$-graded modules and they are $C_2$-cofinite.

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BibTeXRIS

Xiangyu Jiao, Haisheng Li, Qiang Mu. 2017-11-03. Modular Virasoro Vertex Algebras and Affine Vertex Algebras. https://arxiv.org/abs/1711.00985

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