%0 Journal Article
%T Learning about Quantum Gravity with a Couple of Nodes
%A Borja, E. F.
%A Garay, I.
%A Vidotto, F.
%J Symmetry Integrability and Geometry-Methods and Applications
%D 2012
%V 8
%I Natl Acad Sci Ukraine, Inst Math
%@ 1815-0659
%G English
%F Borja_etal2012
%O WOS:000303831400001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1018), last updated on Thu, 31 May 2012 11:38:47 +0000
%X 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.
%K discrete gravity
%K canonical quantization
%K spinors
%K spinfoam
%K quantum cosmology
%R 10.3842/SIGMA.2012.015
%U http://arxiv.org/abs/1110.3020
%U https://doi.org/10.3842/SIGMA.2012.015
%P 015-44pp