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

Masahiko Miyamoto

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arXiv · q-alg/9710038

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

Masahiko Miyamoto

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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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BibTeX RIS

Masahiko Miyamoto. 1997-10-31. 3-State Potts model and automorphism of vertex operator algebra of order 3. https://arxiv.org/abs/q-alg/9710038

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