F-symbols and R-symbols for the Drinfeld center of the Haagerup subfactor
Abstract
We have recently devised and implemented an algorithm for computing the Drinfeld center of a fusion category in our software package 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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