Monstrous and Generalized Moonshine and Permutation Orbifolds

Details Monstrous and Generalized Moonshine and Permutation Orbifolds Monstrous and Generalized Moonshine and Permutation Orbifolds

2008-11-27

arxiv.org/abs/0811.4525v1

Lond.Math.Soc.Lect.Note Ser.372:no.16,2010

Mathematics

Quantum Algebra

14 pages, to appear in Proceedings of the Conference "Moonshine - The First Quarter Century and Beyond"

Scientific paper

We consider the application of permutation orbifold constructions towards a
new possible understanding of the genus zero property in Monstrous and
Generalized Moonshine. We describe a theory of twisted Hecke operators in this
setting and conjecture on the form of Generalized Moonshine replication
formulas.

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