F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor
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| Format: | Preprint |
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2026
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| _version_ | 1866910003024101376 |
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| author | Mäurer, Fabian Thiel, Ulrich Vercleyen, Gert |
| author_facet | Mäurer, Fabian Thiel, Ulrich Vercleyen, Gert |
| contents | We have recently devised and implemented an algorithm for computing the Drinfeld center of a fusion category in our software package \textsc{TensorCategories.jl}. By simplifying the field of definition of the F-symbols, R-symbols, and pivotal coefficients of the Haagerup H3 category, we were now able to compute explicit F-symbols, R-symbols, and pivotal coefficients for its Drinfeld center Z(H3). In this paper, we discuss how to access this data. We also present our new general algorithm for finding a gauge of a multiplicity-free fusion category in which the symbols belong to a minimal field. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_20012 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor Mäurer, Fabian Thiel, Ulrich Vercleyen, Gert Quantum Algebra Mathematical Physics Category Theory Representation Theory We have recently devised and implemented an algorithm for computing the Drinfeld center of a fusion category in our software package \textsc{TensorCategories.jl}. By simplifying the field of definition of the F-symbols, R-symbols, and pivotal coefficients of the Haagerup H3 category, we were now able to compute explicit F-symbols, R-symbols, and pivotal coefficients for its Drinfeld center Z(H3). In this paper, we discuss how to access this data. We also present our new general algorithm for finding a gauge of a multiplicity-free fusion category in which the symbols belong to a minimal field. |
| title | F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor |
| topic | Quantum Algebra Mathematical Physics Category Theory Representation Theory |
| url | https://arxiv.org/abs/2601.20012 |