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The CFT of the SU(N) level k Kac-Moody current algebra has many Kac-Moody primary fields. I wonder if any one has calculated the quantum dimensions of those Kac-Moody primary fields.

I know that, for SU(2) level k Kac-Moody current algebra, there is a general expression for the quantum dimensions of the SU(2) primary fields.

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I found a nice database on Web. For example https://www.math.ksu.edu/~gerald/voas/mtc/kmA3_3.html list the data for SU(4) level 3 case.

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    $\begingroup$ The linked page is for SU(4)_3? $\endgroup$
    – Meng Cheng
    Jul 22 '15 at 2:53

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