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

All the possible three-family ${\cal N}=1$ supersymmetric Pati-Salam models constructed with intersecting D6-branes from Type IIA orientifolds on $T^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ are recently presented in arXiv: 2112.09632. Taking largest wrapping number $5$ and approximate gauge coupling unification at GUT scale as examples, we show string can be realized through two-loop renormalization group equation running by introducing seven pairs of vector-like particles N}=2$ sector. The these introduced fully determined brane intersection numbers while there two D6-brane parallel to each other along one two-torus. We expect this will solve problem generic worlds that naturally included