I have been spending some time learning about quantum groups and their representations and am interested in applications to high energy physics.

Doing a literature search I found that in the last 20 or so years people have already looked into quantum groups and the Standard Model and have used quantum groups to calculate corrections to, for example, the Gell-

Mann-Okubo mass formulas. The deformation parameter q has also been related to Cabibbo mixing.

I am wondering if anyone is aware of any as of yet unexplored applications of quantum groups to high energy physics. Perhaps with the recent experimental data that has come out over the last few years (for example Higgs data), new calculation might be possible.

In particular I would be interested at looking at some aspect where a theoretical value differs from the observed experimental value and finding out if a quantum correction could account for the difference. I am not however aware of such particular instances.

Best regards,

Niels

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