论文标题

Grothendieck戒指的分类复杂的融合类别的多样性类别,最高为六个

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

论文作者

Liu, Zhengwei, Palcoux, Sebastien, Ren, Yunxiang

论文摘要

本文将复杂的融合类别的Grothendieck环分类为六个排名第六。在72个可能的Fusion环中,使用分类标准滤除了25美元的$ 25 $。其余的47个融合环中的每一个都承认了一个单一的复杂分类。我们发现了6个新的Grothendieck环,通过应用五角大楼方程的本地化方法进行分类。

This paper classifies the Grothendieck rings of complex fusion categories of multiplicity one up to rank six. Among 72 possible fusion rings, $25$ ones are filtered out by using categorification criteria. Each of the remaining 47 fusion rings admits a unitary complex categorification. We found 6 new Grothendieck rings, categorified by applying a localization approach of the Pentagon Equation.

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