Monte Carlo simulations of a supersymmetric matrix model of dynamical compactification in non perturbative string theory

TL;DR

This paper uses Monte Carlo simulations to study a 6D Euclidean IIB matrix model, providing evidence for spontaneous symmetry breaking and dynamical compactification consistent with theoretical predictions.

Contribution

It demonstrates the application of Monte Carlo methods to analyze spontaneous symmetry breaking in a supersymmetric matrix model, supporting the dynamical compactification scenario.

Findings

Evidence of spontaneous symmetry breaking to SO(3) vacua

Finite extent of compactified dimensions

Finite spacetime volume

Abstract

The IKKT or IIB matrix model has been postulated to be a non perturbative definition of superstring theory. It has the attractive feature that spacetime is dynamically generated, which makes possible the scenario of dynamical compactification of extra dimensions, which in the Euclidean model manifests by spontaneously breaking the SO(10) rotational invariance (SSB). In this work we study using Monte Carlo simulations the 6 dimensional version of the Euclidean IIB matrix model. Simulations are found to be plagued by a strong complex action problem and the factorization method is used for effective sampling and computing expectation values of the extent of spacetime in various dimensions. Our results are consistent with calculations using the Gaussian Expansion method which predict SSB to SO(3) symmetric vacua, a finite universal extent of the compactified dimensions and finite spacetime volume.