Curved geometry and Graphs
arXiv:1110.3278 · doi:10.1088/1742-6596/360/1/012039
Abstract
Quantum Graphity is an approach to quantum gravity based on a background independent formulation of condensed matter systems on graphs. We summarize recent results obtained on the notion of emergent geometry from the point of view of a particle hopping on the graph. We discuss the role of connectivity in emergent Lorentzian perturbations in a curved background and the Bose--Hubbard (BH) model defined on graphs with particular symmetries.
are welcome. 4pp, 2 fig. Proceedings of Loops'11 Conference, Madrid