Integral non-group-theoretical modular categories of dimension p^2q^2
arxiv（2024）
摘要
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 |
q+1, and their rank is p^2 + q^2 - 1/p.
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