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On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA

Hiroshi Yamauchi
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Abstract

We investigate a general theory of the Z_2-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an explicit realization of the Ising model SVOA and its Z_2-twisted modules. As an application, we obtain the Gerald Hoehn's Babymonster SVOA VB and its Z_2-twisted module VB_{tw} from the moonshine VOA V^\nat by cutting off the Ising models. It is also shown in this paper that Aut (VB) is finite.

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Hiroshi Yamauchi. 2002-03-18. On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA. https://arxiv.org/abs/math/0203086

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