@article{Konopka2008QuantumGA,
title={Quantum graphity: A model of emergent locality},
author={T. Konopka and F. Markopoulou and S. Severini},
journal={Physical Review D},
year={2008},
volume={77},
pages={104029}
}

Quantum graphity is a background-independent model for emergent macroscopic locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At high energy, the graph describing the system is highly connected and the physics is invariant under the full symmetric group acting on the vertices. We present evidence that the model also has a low-energy phase in which the graph describing the system breaks permutation symmetry and appears to be orderedâ€¦Â Expand