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VOAs generated by two conformal vectors whose $τ$-involutions generate $S_3$

Masahiko Miyamoto
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Abstract

We determined the inner products of two conformal vectors with central charge 1/2 whose τ-involutions generates S_3 if none of τ-involutions are trivial. We also see that a subVA generated by such conformal vectors is a VOA with central charge 1/2+20/21 or $4/5+6/7 and has a Griess algebra of dimension three or four, respectively.

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Masahiko Miyamoto. 2001-12-05. VOAs generated by two conformal vectors whose $τ$-involutions generate $S_3$. https://arxiv.org/abs/math/0112031

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