VOAs generated by two conformal vectors whose $\tau$-involutions generate $S_3$
Group Theory
2007-05-23 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math/0112031,
title = {VOAs generated by two conformal vectors whose $\tau$-involutions generate $S_3$},
author = {Masahiko Miyamoto},
journal= {arXiv preprint arXiv:math/0112031},
year = {2007}
}
Comments
19 pages, Latex, corrected some comment