Integral forms in vertex operator algebras which are invariant under finite groups

Details Integral forms in vertex operator algebras which are invariant under finite groups Integral forms in vertex operator algebras which are invariant under finite groups

2012-01-17

arxiv.org/abs/1201.3411v1

Mathematics

Representation Theory

Submitted

Scientific paper

For certain vertex operator algebras (e.g., lattice type) and given finite
group of automorphisms, we prove existence of a positive definite integral form
invariant under the group. Applications include an integral form in the
Moonshine VOA which is invariant under the Monster, and examples in other
lattice type VOAs.

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