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

TL;DR

This paper derives a space-time uncertainty relation from topological field theory and constructs a new matrix model that reduces to known IIB superstring models under supersymmetry constraints, highlighting the emergence of nontrivial dynamics.

Contribution

It introduces a novel matrix model based on topological symmetry and space-time uncertainty principles, connecting to established IIB superstring models.

Findings

Derivation of space-time uncertainty relation from topological symmetry breakdown.

Construction of a new matrix model incorporating spinor fields and topological symmetry.

Reduction of the new model to IKKT and Yoneya models under N=2 supersymmetry.

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.