An overview of penumbral moonshine

Communications in Number Theory and Physics 2026 Open access

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Authors: John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun
DOI: 10.4310/cntp.260401025011
Cited by: 1
References: 76

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Advanced Combinatorial Mathematics Finite Group Theory Research

Publication details

Journal / source
Communications in Number Theory and Physics
Publisher
International Press of Boston
Volume
20
Issue
1
Pages
1–95
Publication date
1 January 2026
Language
EN