2A-orbifold construction and the baby-monster vertex operator superalgebra

Details 2A-orbifold construction and the baby-monster vertex operator superalgebra 2A-orbifold construction and the baby-monster vertex operator superalgebra

2003-12-08

arxiv.org/abs/math/0312164v2

Mathematics

Quantum Algebra

v2: Knowing Tuite's work on 2A-orbifold construction of the moonshine vertex operator algebra, we made a remark on it and revi

Scientific paper

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.

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