We develop categorical and number-theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular categories of rank [Formula: see text]. In particular we find three distinct families of prime categories in rank [Formula: see text] in contrast to the lower rank cases for which there is only one such family.

中文翻译：

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8阶超模类分类

我们开发分类和数论工具来分类超模块化类别。我们应用这些工具来获得等级超模类别的部分分类[公式：见正文]。特别是，我们在等级[公式：参见文本]中发现了三个不同的主要类别系列，而较低等级的案例只有一个这样的系列。