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arXiv · 2312.02427

Borcherds's Lie algebra and $C_2$-cofiniteness of vertex operator algebras of moonshine type

Masahiko Miyamoto
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Abstract

We precisely determined an $\bN$-graded structure of Zhu's poisson algebra $V/C_2(V)$ of vertex operator algebras $V$ of moonshine type. Namely, if $V$ is a vertex operator algebra of moonshine type with a central charge $24$, then $C_2(V)=\sum_{n=5}^{\infty}V_n+L(-1)V$.

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Masahiko Miyamoto. 2023-12-05. Borcherds's Lie algebra and $C_2$-cofiniteness of vertex operator algebras of moonshine type. https://arxiv.org/abs/2312.02427

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