Abstract
Abstract
In the prospect to discuss the construction of fuzzy gravity theories based on the gauge-theoretic approach of ordinary gravity, in the present article we review first the latter in three and four dimensions and then, after recalling the formulation of gauge theories on noncommutative spaces, we present in detail the construction of fuzzy gravity theories in three and four dimensions, as matrix models.
Funder
Alexander von Humboldt-Stiftung
Narodowe Centrum Nauki
National Technical University of Athens
Max Planck Institute for Physics
Deutsche Forschungsgemeinschaft Exzellenzcluster, Heidelberg University
CERN-TH
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics