The complete search for the supersymmetric Pati-Salam models from intersecting D6-branes

Abstract

Abstract We construct a systematic method to build all the possible three-family N $$ \mathcal{N} $$ = 1 supersymmetric Pati-Salam models from Type IIA orientifolds on 𝕋6 /(ℤ2 × ℤ2) with intersecting D6-branes, in which the SU(4) C × SU(2) L × SU(2) R gauge symmetry can be broken down to the SU(3) C × SU(2) L × U(1) Y Standard Model gauge symmetry by the D-brane splitting and supersymmetry preserving Higgs mechanism. This is essentially achieved by solving all the common solutions for three generation conditions, RR tadpole cancellation conditions, and N $$ \mathcal{N} $$ = 1 supersymmetry conditions with deterministic algorithm. We find that there are 202752 possible supersymmetric Pati-Salam models in total, and show that there are only 33 independent models with different gauge coupling relations at GUTs scale after modding out equivalent relations, such as T-dualities, etc. In particular, there is one and only one independent model which has gauge coupling unification. Furthermore, one can construct other types of intersecting D-brane models utilizing such deterministic algorithm, and therefore we suggest a brand new method for D-brane model building.

Keywords

• D-Branes
• String and Brane Phenomenology