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.

Lattice 2000 (Gravity), 4 pages,4 figures, uses espcrc2.sty

References in corpus (2)

• Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
• Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4

Cited by in corpus (3)

• Group Field Theory: An overview
• Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
• Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity