An Overview of Penumbral Moonshine
Representation Theory
2022-02-22 v2 High Energy Physics - Theory
Abstract
As Mathieu moonshine is a special case of umbral moonshine, Thompson moonshine (in half-integral weight) is a special case of a family of similar relationships between finite groups and vector-valued modular forms of a certain kind. We call this penumbral moonshine. We introduce and explain some features of this phenomenon in this work.
Keywords
Cite
@article{arxiv.2109.09756,
title = {An Overview of Penumbral Moonshine},
author = {John F. R. Duncan and Jeffrey A. Harvey and Brandon C. Rayhaun},
journal= {arXiv preprint arXiv:2109.09756},
year = {2022}
}
Comments
96 pages, 55 tables, small typos corrected, tables reformatted