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arXiv · 2109.09756

An Overview of Penumbral Moonshine

John F. R. Duncan·Jeffrey A. Harvey·Brandon C. Rayhaun
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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.

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John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun. 2021-09-20. An Overview of Penumbral Moonshine. https://arxiv.org/abs/2109.09756

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