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Braided quantum field theories proposed by Oeckl can provide a framework for defining quantum field theories having Hopf algebra symmetries.
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L. Freidel and S. Majid, “Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity,” arXiv:hep-th/0601004
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K. Noui, “Three dimensional loop quantum gravity: Towards a self-gravitating quantum field theory,” Class. Quant. Grav. 24
2007
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