$\text{mbox}SU(3{)}_L\otimes \text{mbox}U(1{)}_N$ and $\text{mbox}SU(4{)}_L\otimes \text{mbox}U(1{)}_N$ gauge models with right-handed neutrinos

Abstract

Pisano and Pleitez have introduced an interesting $\text{mbox}SU(3{)}_C\otimes \text{mbox}SU(3{)}_L\otimes \text{mbox}U(1{)}_N$ gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a non-trivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three $\text{mbox}SU(3{)}_L$ triplets (rather than 3 $\text{mbox}SU(3{)}_L$ triplets and a sextet). We also consider a gauge model based on $\text{mbox}SU(3{)}_C\otimes \text{mbox}SU(4{)}_L\otimes \text{mbox}U(1{)}_N$ symmetry. Both of these new models also have the feature that the anomalies cancel only when the number of generations is divisible by 3.

Comments: 8, McGill/94-10