SUPERSYMMETRIC IIB MATRIX MODELS FROM SPACE-TIME UNCERTAINTY PRINCIPLE AND TOPOLOGICAL SYMMETRY

Starting with topological field theory, we derive a space-time uncerta inty relation proposed by Yoneya through breakdown of topological symm etry in the large N matrix model. Next, on the basis of only two basic principles, namely a generalized space-time uncertainty principle con taining spinor field and topological symmetry, we construct a new matr ix model. If we furthermore impose the requirement of N = 2 supersymme try, this new matrix model exactly reduces to the IKKT model or the Yo neya model for IIB superstrings, depending on an appropriate choice fo r a scalar function. A key feature of these formulations is the appear ance of the non-trivial ''dynamical'' theory through breakdown of topo logical symmetry in the matrix model. It is closely examined why the n on-trivial ''dynamical'' theory appears from the trivial topological f ield theory. (C) 1998 Elsevier Science B.V.