Topological modularity of Monstrous Moonshine
High Energy Physics - Theory
2023-07-26 v3 Mathematical Physics
Algebraic Topology
math.MP
Number Theory
Representation Theory
Abstract
We explore connections among Monstrous Moonshine, orbifolds, the Kitaev chain and topological modular forms. Symmetric orbifolds of the Monster CFT, together with further orbifolds by subgroups of Monster, are studied and found to satisfy the divisibility property, which was recently used to rule out extremal holomorphic conformal field theories. For orbifolds by cyclic subgroups of Monster, we arrive at divisibility properties involving the full McKay-Thompson series. Orbifolds by non-abelian subgroups of Monster are further considered by utilizing the data of Generalized Moonshine.
Keywords
Cite
@article{arxiv.2207.14076,
title = {Topological modularity of Monstrous Moonshine},
author = {Ying-Hsuan Lin},
journal= {arXiv preprint arXiv:2207.14076},
year = {2023}
}
Comments
24 pages; v2: improved discussion of series divisibility, added proofs and references; v3: minor revision