@Article{Borja_etal2012, author="Borja, E. F. and Garay, I. and Vidotto, F.", title="Learning about Quantum Gravity with a Couple of Nodes", journal="Symmetry Integrability and Geometry-Methods and Applications", year="2012", publisher="Natl Acad Sci Ukraine, Inst Math", volume="8", pages="015--44pp", optkeywords="discrete gravity; canonical quantization; spinors; spinfoam; quantum cosmology", abstract="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.", optnote="WOS:000303831400001", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1018), last updated on Thu, 31 May 2012 11:38:47 +0000", issn="1815-0659", doi="10.3842/SIGMA.2012.015", opturl="http://arxiv.org/abs/1110.3020", opturl="https://doi.org/10.3842/SIGMA.2012.015", archivePrefix="arXiv", eprint="1110.3020", language="English" }