Generalized quantum gravity condensates for homogeneous geometries and cosmology

Understand

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.