Three-family supersymmetric Pati–Salam models with symplectic groups from intersecting D6-branes

Abstract

Abstract We construct new three-family $${{\mathcal {N}}}=1$$ N = 1 supersymmetric Pati–Salam models from intersecting D6-branes with original gauge group $$\textrm{U}(4)_C \times \textrm{USp}(2)_L \times \textrm{U}(2)_R$$ U ( 4 ) C × USp ( 2 ) L × U ( 2 ) R on a Type IIA $${\mathbb {T}}^6/({\mathbb {Z}}_2\times {\mathbb {Z}}_2)$$ T 6 / ( Z 2 × Z 2 ) orientifold. We find that replacing a $$\textrm{U}(2)$$ U ( 2 ) with a $$\textrm{USp}(2)$$ USp ( 2 ) group severely restricts the number of three-generation supersymmetric models such that there are only five inequivalent models. Exchanging the left and right sectors, we obtain five dual models with gauge group $$\textrm{U}(4)_C \times \textrm{U}(2)_L \times \textrm{USp}(2)_R$$ U ( 4 ) C × U ( 2 ) L × USp ( 2 ) R . These ten models have different gauge coupling relations at string scale. The highest wrapping number is 4, and one of the models contains no filler O6-planes. Moreover, we discuss in detail the particle spectra, the composite particles through strong coupling dynamics, and the exotic particle decouplings. Also, we study how to realize the string-scale gauge coupling relations in some models.