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SIGMA 4 (2008), 012, 15 pages arXiv:0707.4551
https://doi.org/10.3842/SIGMA.2008.012
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics
Preon Model and Family Replicated E6 Unification
Chitta Ranjan Das a and Larisa V. Laperashvili b
a) The Institute of Mathematical Sciences, Chennai, India
b) The Institute of Theoretical and Experimental Physics, Moscow, Russia
Received October 02, 2007, in final form January 24, 2008; Published online February 02, 2008
Abstract
Previously we suggested a new preon model of composite
quark-leptons and bosons with the 'flipped' E6 ×
˜E6 gauge symmetry group. We assumed that preons are
dyons having both hyper-electric g and hyper-magnetic ˜g
charges, and these preons-dyons are confined by hyper-magnetic
strings which are an 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
Tk = kT0 (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 [E6]3 unification at the scale ~1017 GeV. This group of unification has the possibility of
breaking to the group of symmetry: [SU(3)C]3 ×
[SU(2)L]3 × [U(1)Y]3 × [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.
Key words:
preon; dyon; monopole; unification; E6.
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