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arXiv · 1803.01385

Vertex operator algebras generated by Ising vectors of $\sigma$-type

Cuipo Jiang·Ching Hung Lam·Hiroshi Yamauchi
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Abstract

We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of $\sigma$-type. We also prove that the simplicity can be omitted if the Griess algebra is isomorphic to the Matsuo algebra associated with the root system of type $A_n$.

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Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi. 2018-03-04. Vertex operator algebras generated by Ising vectors of $\sigma$-type. https://arxiv.org/abs/1803.01385

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