Exactly Solvable Matrix Models for the Dynamical Generation of Space-Time in Superstring Theory

TL;DR

This paper introduces solvable matrix models with SO(D) symmetry that spontaneously break to generate four-dimensional space-time, supporting a key mechanism in superstring theory's nonperturbative formulation.

Contribution

It provides exactly solvable models demonstrating the dynamical emergence of four-dimensional space-time in the IIB matrix model, advancing understanding of superstring theory.

Findings

SO(D) symmetry is spontaneously broken in the models

The models support the mechanism for space-time generation

Demonstrates a nonperturbative approach to superstring theory

Abstract

We present a class of solvable SO(D) symmetric matrix models with D bosonic matrices coupled to chiral fermions. The SO(D) symmetry is spontaneously broken due to the phase of the fermion integral. This demonstrates the conjectured mechanism for the dynamical generation of four-dimensional space-time in the IIB matrix model, which was proposed as a nonperturbative definition of type IIB superstring theory in ten dimensions.