Family Replicated Gauge Group Models

Abstract

Family Replicated Gauge Group models of the type SU(n)^N\times SU(m)^N, (SMG)^3 and (SMG\times U(1)_{B-L})^3 are reviewed, where SMG=SU(3)_{c}\times SU(2)_{L}\times U(1)_{Y} is the gauge symmetry group of the Standard Model, $B$ is the baryon and $L$ is the lepton numbers, respectively. It was shown that Family Replicated Gauge Group model of the latter type fits the Standard Model fermion masses and mixing angles and describes all neutrino experiment data order magnitudewise using only 5 free parameters -- five vacuum expectation values of the Higgs fields which break the Family Replicated Gauge Group symmetry to the Standard Model. The possibility of [SU(5)]^3 or [SO(10)]^3 unification at the GUT-scale \sim 10^{18} GeV also is briefly considered.

Comments: 7 pages, 2 figures, Latex2e, Talk given by L. V. Laperashvili at the Fifth International Conference ``Symmetry in Nonlinear Mathematical Physics'', Kyiv, Ukraine, June 23-29, 2003