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

Abstract

Abstract 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 T 6 / ( Z 2 × Z 2 ) 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.