We revisit the construction of the N=1 supersymmetric trinification models with gauge group U(3)_(C)×U(3)_(L)×U(3)_(R) in TypeⅡA string theory on T^(6)(Z_(2)×Z_(2))orientifold with intersecting D6-bran...We revisit the construction of the N=1 supersymmetric trinification models with gauge group U(3)_(C)×U(3)_(L)×U(3)_(R) in TypeⅡA 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.展开更多
文摘We revisit the construction of the N=1 supersymmetric trinification models with gauge group U(3)_(C)×U(3)_(L)×U(3)_(R) in TypeⅡA 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.