Topological modularity of Supermoonshine
High Energy Physics - Theory
2023-03-28 v2 Mathematical Physics
Algebraic Topology
math.MP
Number Theory
Representation Theory
Abstract
The theory of topological modular forms (TMF) predicts that elliptic genera of physical theories satisfy a certain divisibility property, determined by the theory's gravitational anomaly. In this note we verify this prediction in Duncan's Supermoonshine module, as well as in tensor products and orbifolds thereof. Along the way we develop machinery for computing the elliptic genera of general alternating orbifolds and discuss the relation of this construction to the elusive "periodicity class" of TMF.
Cite
@article{arxiv.2210.14923,
title = {Topological modularity of Supermoonshine},
author = {Jan Albert and Justin Kaidi and Ying-Hsuan Lin},
journal= {arXiv preprint arXiv:2210.14923},
year = {2023}
}
Comments
28 pages + appendices; v2: publication version