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

Masahiko Miyamoto (University of Tsukuba)

arxiv: math/0112031 · v2 · submitted 2001-12-04 · 🧮 math.GR · math.QA

VOAs generated by two conformal vectors whose τ-involutions generate S₃

Masahiko Miyamoto (University of Tsukuba) This is my paper

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keywords conformalvectorscentralchargegeneratedtau-involutionswhosealgebra

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We determined the inner products of two conformal vectors with central charge 1/2 whose \tau-involutions generates S_3 if none of \tau-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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VOAs generated by two conformal vectors whose τ-involutions generate S₃

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