Probability distribution over some phenomenological models in the matrix model compactified on a torus
arXiv:1303.3982 · doi:10.1093/ptep/ptt068
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.
45 pages. arXiv admin note: substantial text overlap with arXiv:1209.4514; ver2: text revised; ver3: version published in PTEP
References in corpus (8)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
- Six Dimensional Gauge-Higgs Unification with an Extra Space S^2 and the Hierarchy Problem
- Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere
- Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
- Probability of the Standard Model Appearance from a Matrix Model
- Index Theorem in Finite Noncommutative Geometry
- Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter