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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract:
We review briefly the motivations for introducing additional group-theoretic
data in tensor models, leading to the richer framework of group field theories,
themselves a field theory formulation of loop quantum gravity. We discuss how
these data give to the GFT amplitudes the structure of lattice gauge theories
and simplicial gravity path integrals, and make their quantum geometry
manifest. We focus in particular on the non-commutative flux/algebra
representation of these models.