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

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

2002-03-08

arxiv.org/abs/math/0203086v4

Mathematics

Quantum Algebra

Latex2e 26pages. This paper is my draft of my speach which will be given at the conference of MSJ on 28 March 2002

Scientific paper

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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