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arXiv · 1609.04896

Modular Categories of Dimension $p^3m$ with $m$ Square-Free

Paul Bruillard·Julia Yael Plavnik·Eric C. Rowell
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Abstract

We give a complete classification of modular categories of dimension $p^3m$ where $p$ is prime and $m$ is a square-free integer. When $p$ is odd, all such categories are pointed. For $p=2$ one encounters modular categories with the same fusion ring as orthogonal quantum groups at certain roots of unity, namely $SO(2m)_2$. As an immediate step we classify a more general class of so-called even metaplectic modular categories with the same fusion rules as $SO(2N)_2$ with $N$ odd.

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BibTeXRIS

Paul Bruillard, Julia Yael Plavnik, Eric C. Rowell. 2016-09-16. Modular Categories of Dimension $p^3m$ with $m$ Square-Free. https://arxiv.org/abs/1609.04896

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