An Overview of Penumbral Moonshine

An Overview of Penumbral Moonshine
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半影月光概述

DOI:
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发表时间:
2021
期刊:
影响因子:
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通讯作者:
Brandon C. Rayhaun
Brandon C. Rayhaun
中科院分区:
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文献类型:
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作者:
J. Duncan;J. A. Harvey;Brandon C. Rayhaun

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由于Mathieu moonshine是本影moonshine的一种特殊情况,Thompson moonshine(在半积分权下)是有限群与某一类向量值模形式之间相似关系族的一种特殊情况。我们称之为半影月光。本文对这一现象的一些特征进行了介绍和解释。
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.