A Partial Unification Model in Non-commutative Geometry

Details A Partial Unification Model in Non-commutative Geometry A Partial Unification Model in Non-commutative Geometry

1993-06-23

arxiv.org/abs/hep-ph/9306304v1

J.Geom.Phys. 14 (1994) 285-304

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0393-0440(94)90010-8

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 Fr\"ohlich 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 $SU(4)$.

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