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#### Generalized quantum gravity condensates for homogeneous geometries and cosmology

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1501.00936.pdf

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##### Citation

Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L. (2015). Generalized quantum
gravity condensates for homogeneous geometries and cosmology.* Classical and quantum gravity,*
*32*(23): 235016. doi:10.1088/0264-9381/32/23/235016.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-A68D-0

##### Abstract

We construct a generalized class of quantum gravity condensate states, that

allows the description of continuum homogeneous quantum geometries within the

full theory. They are based on similar ideas already applied to extract

effective cosmological dynamics from the group field theory formalism, and thus

also from loop quantum gravity. However, they represent an improvement over the

simplest condensates used in the literature, in that 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. The construction lends itself easily to be applied also to the case

of spherically symmetric quantum geometries.

allows the description of continuum homogeneous quantum geometries within the

full theory. They are based on similar ideas already applied to extract

effective cosmological dynamics from the group field theory formalism, and thus

also from loop quantum gravity. However, they represent an improvement over the

simplest condensates used in the literature, in that 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. The construction lends itself easily to be applied also to the case

of spherically symmetric quantum geometries.