Preon Model and Family Replicated E_6 Unification

Abstract

Previously we suggested a new preon model of composite quark-leptons and bosons with the 'flipped' $E_6\times \widetilde{E_6}$ gauge symmetry group. We assumed that preons are dyons having both hyper-electric $g$ and hyper-magnetic $\tilde{g}$ charges, and these preons-dyons are confined by hyper-magnetic strings which are an $\mathbf{N}=1$ supersymmetric non-Abelian flux tubes created by the condensation of spreons near the Planck scale. In the present paper we show that the existence of the three types of strings with tensions $T_k=k{T}_0$ $(k=1,2,3)$ producing three (and only three) generations of composite quark-leptons, also provides three generations of composite gauge bosons ('hyper-gluons') and, as a consequence, predicts the family replicated $[E_6{]}^3$ unification at the scale $\sim 10^{17}$ GeV. This group of unification has the possibility of breaking to the group of symmetry: $[SU(3{)}_C{]}^3\times [SU(2{)}_L{]}^3\times [U(1{)}_Y{]}^3\times [U(1{)}_{(B-L)}{]}^3$ which undergoes the breakdown to the Standard Model at lower energies. Some predictive advantages of the family replicated gauge groups of symmetry are briefly discussed.

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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