2A-orbifold construction and the baby-monster vertex operator superalgebra
Quantum Algebra
2007-05-23 v2
Abstract
In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sporadic finite simple group and determine irreducible modules for the baby-monster vertex operator algebra. Our result has many corollaries. In particular, we can prove that the Z_2-orbifold construction with respect to a 2A-involution of the Monster applied to the moonshine vertex operator algebra yields the moonshine vertex operator algebra itself again.
Cite
@article{arxiv.math/0312164,
title = {2A-orbifold construction and the baby-monster vertex operator superalgebra},
author = {Hiroshi Yamauchi},
journal= {arXiv preprint arXiv:math/0312164},
year = {2007}
}
Comments
v2: Knowing Tuite's work on 2A-orbifold construction of the moonshine vertex operator algebra, we made a remark on it and revised references