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arXiv · 2404.03826

Integral non-group-theoretical modular categories of dimension $p^2q^2$

César Galindo·Julia Plavnik·Eric C. Rowell
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Abstract

We construct all integral non-group-theoretical modular categories of dimension $p^2q^2$, where $p$ and $q$ are distinct prime numbers, establishing that a necessary and sufficient condition for their existence is that $p \mid q+1$, and their rank is $p^2 + \frac{q^2 - 1}{p}$.

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César Galindo, Julia Plavnik, Eric C. Rowell. 2024-04-04. Integral non-group-theoretical modular categories of dimension $p^2q^2$. https://arxiv.org/abs/2404.03826

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