Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 012, 15 pages      arXiv:0707.4551
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

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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