Revisiting the N = 1 supersymmetric trinification models from intersecting D6-branes

We revisit the construction of the N=1 supersymmetric trinification models with gauge group U(3)C× U(3)L × U(3)R in Type IIA string theory on T⁶/(Z₂× Z₂) orientifold with intersecting D6-branes. The non-trivial K-theory conditions and tadpole cancellation conditions severely restrict the number of allowed models even for the case of rectangular two-tori. Using a supervised search algorithm, we find a few four-family models where the highest wrapping number is 2. For these models, we present the complete particle spectra and the gauge coupling relations at the string-scale.