Modular fusion categories with few twists
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916930175107072 |
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| author | Schopieray, Andrew |
| author_facet | Schopieray, Andrew |
| contents | We classify modular fusion categories up to braided equivalence with less than four distinct twists of simple objects by observing that under this assumption, for each positive integer $N$, there are finitely many modular fusion categories of Frobenius-Schur exponent $N$ up to braided equivalence whose twists are a proper subset of the $N^\mathrm{th}$ roots of unity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular fusion categories with few twists Schopieray, Andrew Quantum Algebra Representation Theory We classify modular fusion categories up to braided equivalence with less than four distinct twists of simple objects by observing that under this assumption, for each positive integer $N$, there are finitely many modular fusion categories of Frobenius-Schur exponent $N$ up to braided equivalence whose twists are a proper subset of the $N^\mathrm{th}$ roots of unity. |
| title | Modular fusion categories with few twists |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2509.02501 |