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

We construct new three-family N=1 N = 1 supersymmetric Pati–Salam models from intersecting D6-branes with original gauge group U(4)C × USp(2)L × U(2)R U ( 4 ) C × USp ( 2 ) L × U ( 2 ) R on a Type IIA T⁶/(Z₂× Z₂) T 6 / ( Z 2 × Z 2 ) orientifold. We find that replacing a U(2) U ( 2 ) with a 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 U(4)C × U(2)L × 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.