A partial unification model in non-commutative geometry

Abstract We consider the construction of SU (2) L ⊗ SU (2) R ⊗ SU (4) partial unification models as an example of phenomenologically acceptable unification models in the absence of supersymmetry in non-commutative geometry. We exploit the Chamseddine, Felder and Frohlich generalization of the Connes and Lott model building prescription. By introducing a bi-module structure and appropriate permutation symmetries we construct a model with triplet Higgs fields in the SU (2) sectors and spontaneous breaking of SU (4).