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

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

1997-10-31

arxiv.org/abs/q-alg/9710038v1

Mathematics

Quantum Algebra

16 pages, Latex

Scientific paper

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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