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

2001/12/04 by Masahiko Miyamoto, Miyamoto, Masahiko
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #math.GR #math.QA

paper · pdf · doi:10.48550/arxiv.math/0112031

19 pages, Latex, corrected some comment

arxiv created 2001/12/05 · arxiv updated 2009/11/30

Abstract

We determined the inner products of two conformal vectors with central charge 1/2 whose τ-involutions generates S₃ 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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