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

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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)*Uₗ(2)*Uᵣ(2), and models where the gauge group U(4) is broken down to Uc(3)*U(1) and/or Uᵣ(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.