Résumé : "Aspects of group field theories"
Group field theories (GFT) provide a higher dimensional generalization of matrix models. Just as the Feynman graphs of matrix models are ribbon graphs dual to Riemann surfaces, the graphs of a D-dimensional GFT are D-stranded graphs dual to triangulated (pseudo)-manifolds. They provide a new and promising framework for the study of quantum gravity, including a sum over all topologies. I will describe several new aspects of these theories, including a dual formulation as non-commutative field theories, which provide important insights on their geometrical meaning.
|Dernière modification : mercredi 06 juillet 2011||Contact : Cyril.Banderier at lipn.univ-paris13.fr|