IIB Matrix Model

TL;DR

The paper reviews a covariant matrix model for superstring theory, demonstrating how space-time, matter, and gravity emerge dynamically from matrix eigenvalues and fluctuations.

Contribution

It provides a constructive, covariant formulation of the type IIB superstring via the matrix model, detailing how space-time and matter arise dynamically.

Findings

Space-time is determined by eigenvalue distributions.

Matter and gauge fields emerge as fluctuations.

The model reproduces string perturbation theory.

Abstract

We review our proposal for a constructive definition of superstring, type IIB matrix model. The IIB matrix model is a manifestly covariant model for space-time and matter which possesses N=2 supersymmetry in ten dimensions. We refine our arguments to reproduce string perturbation theory based on the loop equations. We emphasize that the space-time is dynamically determined from the eigenvalue distributions of the matrices. We also explain how matter, gauge fields and gravitation appear as fluctuations around dynamically determined space-time.