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

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

2001-12-04

arxiv.org/abs/math/0112031v2

Mathematics

Group Theory

19 pages, Latex, corrected some comment

Scientific paper

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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