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An Overview of Penumbral Moonshine (2109.09756v2)
Published 20 Sep 2021 in math.RT and hep-th
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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