Probability of the Standard Model Appearance from a Matrix Model

Abstract

The standard model of particle physics lies in an enormous number of string vacua. In a nonperturbative formulation of string theory, various string vacua can, in principle, be compared dynamically, and the probability distribution over the vacuum space could be calculated. 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, find matrix configurations that provide the standard model matter content, and estimate semiclassically the probability of their appearance.

23 pages, ver. 2: typos corrected, ver. 3: published in PRD

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Cited by in corpus (5)

• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Local field theory from the expanding universe at late times in the IIB matrix model
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• (3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• Phenomenological studies in the matrix models