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arXiv · 2312.09713

The classification of vertex operator algebras of OZ-type generated by Ising vectors of $\sigma$-type

Cuipo Jiang·Ching Hung Lam·Hiroshi Yamauchi
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Abstract

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $\sigma$-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, $C_2$-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of $\sigma$-type over the real numbers.

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Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi. 2023-12-15. The classification of vertex operator algebras of OZ-type generated by Ising vectors of $\sigma$-type. https://doi.org/10.1016/j.aim.2025.110146

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