Emergent 4D Gravity from Matrix Models

Abstract

Recent progress in the understanding of gravity on noncommutative spaces is discussed. A gravity theory naturally emerges from matrix models of noncommutative gauge theory. The effective metric depends on the dynamical Poisson structure, absorbing the degrees of freedom of the would-be U(1) gauge field. The gravity action is induced upon quantization.Comment: 5 pages. Based on talks given at the BW2007 workshop "Challenges Beyond the Standard Model", Kladovo, Serbia and the Vienna Central European Seminar "Particle Physics and quantum field theory" 2007 and the workshop "Field Theory, Non-commutative Geometry and Strings", Zagreb, Croatia: November 9-11, 200