Matrix model formulation of four dimensional gravity

Abstract

The attempt of extending to higher dimensions the matrix model formulation of two-dimensional quantum gravity leads to the consideration of higher rank tensor models. We discuss how these models relate to four dimensional quantum gravity and the precise conditions allowing to associate a four-dimensional simplicial manifold to Feynman diagrams of a rank-four tensor model.Comment: Lattice 2000 (Gravity), 4 pages,4 figures, uses espcrc2.st