Generalized Supersymmetric Pati-Salam Models from Intersecting D6-branes

Abstract

Following the scanning methods of arXiv:1910.04530, we for the first time systematically construct the $N=1$ supersymmetric $SU(12{)}_C\times SU(2{)}_L\times SU(2{)}_R$ models, $SU(4{)}_C\times SU(6{)}_L\times SU(2{)}_R$ models, and $SU(4{)}_C\times SU(2{)}_L\times SU(6{)}_R$ models from the Type IIA orientifolds on ${\mathbf{T}}^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$ with intersecting D6-branes. These gauge symmetries can be broken down to the Pati-Salam gauge symmetry $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ 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. Also, we obtain three families of the SM fermions, and have the left-handed and right-handed three-family SM fermion unification in the $SU(12{)}_C\times SU(2{)}_L\times SU(2{)}_R$ models, the left-handed three-family SM fermion unification in the $SU(4{)}_C\times SU(6{)}_L\times SU(2{)}_R$ models, and the right-handed three-family SM fermion unification in the $SU(4{)}_C\times SU(2{)}_L\times SU(6{)}_R$ models. Moreover, the $SU(4{)}_C\times SU(6{)}_L\times SU(2{)}_R$ models and $SU(4{)}_C\times SU(2{)}_L\times SU(6{)}_R$ models are related by the left and right gauge symmetry exchanging, as well as a variation of type II T-duality. Furthermore, 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.

Appendix added, typos corrected. arXiv admin note: substantial text overlap with arXiv:1910.04530