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Quantum Algebra and Topology
3-State Potts model and automorphism of vertex operator algebra of order 3
Masahiko Miyamoto
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 ♮ .
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Submitted on 31 Oct 1997
Updated
arXiv.org
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