Probability of the Standard Model Appearance from a Matrix Model

TL;DR

This paper estimates the likelihood of the Standard Model emerging from a nonperturbative string theory framework by analyzing matrix configurations in the IIB matrix model compactified on a six-dimensional torus.

Contribution

It introduces a method to calculate the probability of Standard Model-like vacua within the IIB matrix model using semiclassical estimates.

Findings

Identified matrix configurations matching Standard Model matter content.

Estimated the probability of these configurations appearing in the model.

Provided a framework for comparing different string vacua dynamically.

Abstract

The standard model of particle physics lies in an enormous number of string vacua. In a nonperturbative formulation of string theory, various string vacua can, in principle, be compared dynamically, and the probability distribution over the vacuum space could be calculated. In this paper, we consider situations where the IIB matrix model is compactified on a six-dimensional torus with various gauge groups and various magnetic fluxes, find matrix configurations that provide the standard model matter content, and estimate semiclassically the probability of their appearance.