A Supersymmetric Grand Unified Model with Noncompact Horizontal Symmetry
Abstract
In a supersymmetric SU(5) grand unified model with a horizontal symmetry SU(1,1), we discuss spontaneous generation of generations to produce three chiral generations of quarks and leptons and one generation of higgses by using one structure field with a half-integer spin of SU(1,1) and two structure fields with integer spins. In particular, the colored higgses can disappear without fine-tuning. The difference of the Yukawa coupling matrices between the down-type quarks and charged leptons is discussed. We show that some special SU(1,1) weight assignments include R-parity as a discrete subgroup, and R-parity remains even after we take into account the SU(1,1) breaking effects from all the VEVs of the structure and matter fields. The assignments forbid the baryon and/or lepton number violating terms except a superpotential quartic term including a coupling of two lepton doublets and two up-type higgses. We discuss how to generate sizable neutrino masses. We show that the proton decay derived from the colored higgses is highly suppressed.
Keywords
Cite
@article{arxiv.1304.5215,
title = {A Supersymmetric Grand Unified Model with Noncompact Horizontal Symmetry},
author = {Naoki Yamatsu},
journal= {arXiv preprint arXiv:1304.5215},
year = {2014}
}
Comments
30 pages, 4 figures