Space-Time Structures from IIB Matrix Model

TL;DR

This paper derives an effective action for space-time from the IIB matrix model, demonstrating its finiteness, dynamical dimensionality, and potential to explain the cosmological constant and realistic universe features.

Contribution

It introduces a long-distance effective action for space-time from the IIB matrix model and proves its finiteness at all perturbation orders.

Findings

Space-time is shown to be inseparable and dynamically determined.

The theory is finite for finite N at all perturbation orders.

A mechanism for vanishing cosmological constant independent of supersymmetry.

Abstract

We derive a long distance effective action for space-time coordinates from a IIB matrix model. It provides us an effective tool to study the structures of space-time. We prove the finiteness of the theory for finite $N$ to all orders of the perturbation theory. Space-time is shown to be inseparable and its dimensionality is dynamically determined. The IIB matrix model contains a mechanism to ensure the vanishing cosmological constant which does not rely on the manifest supersymmetry. We discuss possible mechanisms to obtain realistic dimensionality and gauge groups from the IIB matrix model.