Categorical data for low rank unitary fusion categories

Data for all multiplicity free unitary fusion categories of rank ≤ 6 up to equivalence. For those with braidings, all inequivalent braidings are included.

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Conventions:

Fusion rings are indexed according to the AnyonWiki

File content

Nabc.txt:

a b c Nabc

F.txt:

a b c d α e β μ f ν ReF ImF

R.txt:

a b c α μ ReR ImR

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Directory structure:

./uFC/ contains txt files for all multiplicity free (braided) fusion categories up to rank 6. ./uFC/FR_r_n_m/Nabc.txt contains the non-zero fusion rules. Each categorification is contained in a numbered subdirectory, with all braidings included in subsequent subdirectories.