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In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and non-commutative simplicial path integrals for constrained BF theories.
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A. Baratin, D. Oriti, Group field theory with non-commutative metric variables
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L. Freidel, S. Speziale, Twisted geometries: A geometric parametrisation of SU(2) phase space
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2011
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B. Dittrich, J. P. Ryan, Phase space descriptions for simplicial 4d geometries
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2011
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2011
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2011
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A. Baratin, F. Girelli, D. Oriti, Diffeomorphisms in group field theory
2011
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