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Résumé |
I present the construction, in the group field theory formalism, of a generalized class of quantum gravity condensate states, that allows the description of continuum homogeneous quantum geometries within the full theory. They are defined by an infinite superposition of graph-based states encoding in a precise way the topology of the spatial manifold. The construction is based on the definition of refinement operators on spin network states, written in a second quantized language. I apply the construction to the case of a continuum spherically symmetric quantum geometry of an horizon and I show how the associated reduced density matrix manifestly exhibits an holographic behavior. |
