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arXiv · 2305.09108

On near-group centers and super-modular categories

Eric C. Rowell·Hannah Solomon·Qing Zhang
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Abstract

The construction and classification of super-modular categories is an ongoing project, of interest in algebra, topology and physics. In a recent paper, Cho, Kim, Seo and You produced two mysterious families of super-modular data, with no known realization. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\mathbb Z/6$ and $\mathbb Z/2\times \mathbb Z/4$. The methods we develop have wider applications and we describe some of these, with a view towards understanding when near-group centers provide super-modular categories.

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Eric C. Rowell, Hannah Solomon, Qing Zhang. 2023-05-16. On near-group centers and super-modular categories. https://arxiv.org/abs/2305.09108

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