I need the explicit quantum 6j symbols for the Haagerup fusion category for a physics research project. This paper math/9803044 by Asaeda and Haagerup brute-force constructs the Haagerup subfactor, by giving explicit connections on four graphs. So I wonder: (1) Is the data of connections equivalent to the quantum 6j symbols? (2) If so, how can I translate?

Any help or direction to references is very much appreciated!

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    $\begingroup$ The answer to your first question is yes. I don't know of a reference for your second question, but probably such a reference exists. If no one else addresses the second question, I'll attempt an answer. $\endgroup$ – Kevin Walker Apr 11 '19 at 14:29
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    $\begingroup$ Your base problem is that you need the 6j-symbols. I have those sitting around if you email me. $\endgroup$ – Matthew Titsworth Apr 11 '19 at 15:52
  • $\begingroup$ @KevinWalker, thanks for your answer. Though I currently just need the Haagerup 6j-symbols that Matthew has offered, I am very interested in learning about the general relation between connections and 6j symbols. $\endgroup$ – Ying Apr 11 '19 at 18:59
  • $\begingroup$ That email is dead, but my Gmail should be in my ArXiv papers. $\endgroup$ – Matthew Titsworth Apr 12 '19 at 19:59

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