Wednesday, March 20, 2013

1303.3982 (Hajime Aoki)

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

Hajime Aoki
In a nonperturbative formulation of string theory, various string vacua, which include some phenomenological models, can be compared dynamically, in principle. 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, and find all the matrix configurations that provide matter content of some phenomenological 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 the U_R(2) is broken to U(1)^2. We then study dynamics of the matrix model semiclassically, argue how to take large-N limits, and estimate a probability distribution for the appearance of the phenomenological models.
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