Abstract :
Starting with topological field theory, we derive a 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, namely a generalized space-time uncertainty principle containing spinor field and topological symmetry, we construct a new matrix model. If we furthermore impose the requirement of N = 2 supersymmetry, this new matrix model exactly reduces to the IKKT model or the Yoneya model for IIB superstrings, depending on an appropriate choice for a scalar function. A key feature of these formulations is the appearance of the non-trivial “dynamical” theory through breakdown of topological symmetry in the matrix model. It is closely examined why the non-trivial “dynamical” theory appears from the trivial topological field theory.
