The hidden sector variations in the N=1 supersymmetric three-family Pati-Salam models from intersecting D6-branes

It is well-known that three-family supersymmetric Pati-Salam models from intersecting D6-branes, where either one or both of the U(2) gauge factors are replaced by a USp(2) group, are quite scarce. In order to construct all such kind of models with generic additional gauge symmetries, we fix the observable sectors and study all the possible hidden sectors. Thus, we are able to completely determine all types of such kind of the inequivalent models on a T-6/(Z(2) x Z(2)) orientifold from IIA string theory. We find the gauge coupling relations to be highly sensitive to the variations in the hidden sector. One of the models exhibits the gauge coupling unification for a particular solution at the string scale. In addition, we perform scan on the hidden sector variations for the models presented in arXiv:2112.09632, whose gauge coupling relations are still preserved. Thus, we fix the gap in the previous study and complete the model building for all the inequivalent models.

Automated summary

In this study, we completely determined all types of three-family supersymmetric Pati-Salam models with generic additional gauge symmetries by fixing the observable sectors and studying all possible hidden sectors. We found that the gauge coupling relations are highly sensitive to variations in the hidden sector. Additionally, we performed a scan on the hidden sector variations for the models presented in arXiv:2112.09632, while preserving the gauge coupling relations.