Awesome
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.
Conventions:
Fusion rings are indexed according to the AnyonWiki
<div style="text-align:center"> <img src="assets/F.png" height="220px" style="padding-right:25px" alt="F-symbols carry 10 indices"> <img src="assets/R.png" height="220px" style="padding-left:25px" alt="R-symbols carry 5 indices"> </div>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
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.