Supersymmetric IIB Matrix Models from Space-time Uncertainty Principle and Topological Symmetry

Abstract

Starting with topological field theory, we derive space-time uncertainty relation proposed by Yoneya through breakdown of topological symmetry in the large $N$ matrix model. Next, on the basis of only two basic principles, those are, generalized space-time uncertainty principle containing spinor field and topological symmetry, we construct a new matrix model. If we furthermore impose a requirement of N=2 supersymmetry, this new matrix model exactly reduces to the IKKT model or the Yoneya model for IIB superstring depending on an appropriate choice for a scalar function. A key feature of these formulations is an appearance of the nontrivial "dynamical" theory through breakdown of topological symmetry in the matrix model. It is closely examined why the nontrivial "dynamical" theory appears from the trivial topological field theory.