Monstrous and Generalized Moonshine and Permutation Orbifolds
Michael P. Tuite
TL;DR
This paper explores the use of permutation orbifold constructions to better understand Monstrous and Generalized Moonshine, introducing twisted Hecke operators and conjecturing new replication formulas.
Contribution
It proposes a novel approach using permutation orbifolds and develops a theory of twisted Hecke operators for Moonshine phenomena.
Findings
Introduction of twisted Hecke operators in Moonshine context
Conjectures on Generalized Moonshine replication formulas
Potential new insights into genus zero property
Abstract
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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