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NUMBER  
AUTHOR He, Weikun,Sun, Rui
TITLE N=1 supersymmetric SU(12)(C) x SU(2)(L) x SU(2)(R) models, SU(4)(C) x SU(6)(L) x SU(2)(R) models, and SU(4)(C) x SU(2)(L) x SU(6)(R) models from intersecting D6-branes
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JOURNAL PHYSICAL REVIEW D, 2021
ABSTRACT For the first time we systematically discuss the N = 1 supersymmetric SU(12)(C) x SU(2)(L) x SU(2)(R) models, SU(4)(C) x SU(6)(L) x SU(2)(R )models, and SU(4)(C) x SU(2)(L) x SU(6)(R) models from the type IIA orientifolds on T-6 / (Z(2) x Z(2)) with intersecting D6-branes. These gauge symmetries can be broken down to the Pati-Salam gauge symmetry SU(4)(C) x SU(2)(L) x SU(2)(R) via three SU(12)(C)/SU(6)(L)/SU(6)(R) adjoint representation Higgs fields, and further down to the Standard Model (SM) via the D-brane splitting and Higgs mechanism. We obtain three families of the SM fermions, and have the left-handed three-family SM fermion unification in the SU(4)(C) x SU(6)(L) x SU(2)(R) models, and the right-handed three-family SM fermion unification in the SU(4)(C) x SU(2)(L) x SU(6)(R) models. Utilizing mathematical analysis, we exclude the generalized SU(12)(C) x SU(2)(L) x SU(2)(R) models by requiring the conditions for constructing Minimal Supersymmetric Standard Model models. Moreover, the SU(4)(C) x SU(6)(L) x SU(2)(R) models and SU(4)(C) x SU(2)(L) x SU(6)(R) models are related by the left and right gauge symmetry exchanging, as well as a variation of type II T-duality. The hidden sector contains USp(n) branes, which are parallel with the orientifold planes or their Z(2) images and might break the supersymmetry via gaugino condensations.
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