3-State Potts model and automorphism of vertex operator algebra of order 3

1997/10/31 by Masahiko Miyamoto, Miyamoto, Masahiko
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9710038

16 pages, Latex

arxiv created 1997/10/31 · arxiv updated 2009/11/30

Abstract

We define an automorphism of VOA of order 3 by using a sub VOA isomorphic to a direct sum of 3-state Potts models L(\ff,0) and an its module L(\ff,3). This automorphism is a 3A element of the monster simple group if V is the moonshine VOA V^\natural.

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