Vertex operator algebras associated to the Virasoro algebra over an arbitrary field

Dong, Chongying; Ren, Li

doi:10.1090/tran/6529

Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
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Abstract:

The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field $\mathbb {F}$ with $\mathrm {ch}\mathbb {F}\ne 2$ are studied. The irreducible modules of vertex operator algebra $L(\frac {1}{2},0)_{\mathbb {F}}$ are classified. The rationality of $L(\frac {1}{2},0)_{\mathbb {F}}$ is established if $\mathrm {ch}\mathbb {F}\ne 7.$

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