A Partial Unification Model in Non-commutative Geometry

B. E. Hanlon; G. C. Joshi

doi:10.1016/0393-0440(94)90010-8

paper

A Partial Unification Model in Non-commutative Geometry

arXiv:hep-ph/9306304 · doi:10.1016/0393-0440(94)90010-8

Abstract

We consider the construction of $S U (2)_{L} \otimes S U (2)_{R} \otimes S U (4)$ 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 $S U (2)$ sectors and spontaneous breaking of $S U (4)$ .

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