Integral non-group-theoretical modular categories of dimension $p^2q^2$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909161866919936 |
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| author | Galindo, César Plavnik, Julia Rowell, Eric C. |
| author_facet | Galindo, César Plavnik, Julia Rowell, Eric C. |
| contents | 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 $p^2 + \frac{q^2 - 1}{p}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03826 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integral non-group-theoretical modular categories of dimension $p^2q^2$ Galindo, César Plavnik, Julia Rowell, Eric C. Quantum Algebra 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 $p^2 + \frac{q^2 - 1}{p}$. |
| title | Integral non-group-theoretical modular categories of dimension $p^2q^2$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2404.03826 |