Probability distribution over some phenomenological models in the matrix model compactified on a torus

TL;DR

This paper explores phenomenological models derived from a compactified IIB matrix model with magnetic fluxes, identifying configurations that produce realistic gauge groups and estimating their likelihood.

Contribution

It extends previous work by analyzing a broader class of models and computes probability distributions for their emergence in the matrix model framework.

Findings

Identified matrix configurations yielding phenomenologically relevant gauge groups.

Estimated semiclassical probabilities for the appearance of these models.

Extended the class of models studied in matrix model compactifications.

Abstract

We study some phenomenological models in a matrix model corresponding to the IIB matrix model compactified on a six-dimensional torus with magnetic fluxes. Extending our previous works, we examine a wider class of models: a Pati-Salam-like model with a gauge group U(4)*U_L(2)*U_R(2), and models where the gauge group U(4) is broken down to U_c(3)*U(1) and/or U_R(2) is broken down to U(1)^2. We find all the matrix configurations that yield matter content of all the phenomenological models whose gauge group is a subgroup of U(8). We then estimate semiclassically a probability distribution for the appearance of the phenomenological models.