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Symmetry, Integrability and Geometry : Methods and Applications 8 (2012) 015
Learning about Quantum Gravity with a Couple of Nodes
Enrique F. Borja, Iñaki Garay1, F. Vidotto2, 3

Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory.
1 :  Institute for Theoretical Physics III
2 :  CPT - Centre de Physique Théorique
3 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
Physique/Relativité Générale et Cosmologie Quantique
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