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arXiv · 2601.20012

F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor

Fabian Mäurer·Ulrich Thiel·Gert Vercleyen
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Abstract

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.

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Fabian Mäurer, Ulrich Thiel, Gert Vercleyen. 2026-01-27. F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor. https://arxiv.org/abs/2601.20012

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