A Partial Unification Model in Non-commutative Geometry

Abstract

We consider the construction of $SU(2{)}_L\otimes SU(2{)}_R\otimes SU(4)$ 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 Fröhlich 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 $SU(4)$.

Comments: 23 pages, UM-P-93/54, Latex