Probability distribution over some phenomenological models in the matrix model compactified on a torus
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.
Keywords
Cite
@article{arxiv.1303.3982,
title = {Probability distribution over some phenomenological models in the matrix model compactified on a torus},
author = {Hajime Aoki},
journal= {arXiv preprint arXiv:1303.3982},
year = {2014}
}
Comments
45 pages. arXiv admin note: substantial text overlap with arXiv:1209.4514; ver2: text revised; ver3: version published in PTEP