The final model building for the supersymmetric Pati-Salam models from intersecting D6-branes

All the possible three-family N = 1 supersymmetric Pati-Salam models constructed with intersecting D6branes from Type IIA orientifolds on T-6/(Z(2) x Z(2)) are recently presented in arXiv:2112.09632. Taking models with largest wrapping number 5 and approximate gauge coupling unification at GUT scale as examples, we show string scale gauge coupling unification can be realized through two-loop renormalization group equation running by introducing seven pairs of vector-like particles from N = 2 sector. The number of these introduced vector-like particles are fully determined by the brane intersection numbers while there are two D6-brane parallel to each other along one two-torus. We expect this will solve the gauge coupling unification problem in the generic intersecting brane worlds by introducing vector-like particles that naturally included in the N = 2 sector.

Automated summary

This study presents the construction of three-family N=1 supersymmetric Pati-Salam models using intersecting D6-branes and demonstrates that string scale gauge coupling unification can be achieved by introducing vector-like particles from the N=2 sector.