On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA
Quantum Algebra
2007-05-23 v4
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.
Keywords
Cite
@article{arxiv.math/0203086,
title = {On Z_2-twisted representation of vertex operator superalgebras and the Ising model SVOA},
author = {Hiroshi Yamauchi},
journal= {arXiv preprint arXiv:math/0203086},
year = {2007}
}
Comments
Latex2e 26pages. This paper is my draft of my speach which will be given at the conference of MSJ on 28 March 2002