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SIGMA, 2008, Volume 4, 012, 15 pages (Mi sigma265)  

This article is cited in 4 scientific papers (total in 4 papers)

Preon Model and Family Replicated $E_6$ Unification

Chitta Ranjan Dasa, Larisa V. Laperashvilib

a The Institute of Mathematical Sciences, Chennai, India
b The Institute of Theoretical and Experimental Physics, Moscow, Russia

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 $\sim10^{17}$ 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.

Keywords: preon; dyon; monopole; unification; $E_6$

DOI: https://doi.org/10.3842/SIGMA.2008.012

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Bibliographic databases:

ArXiv: 0707.4551
MSC: 81T10; 81T13; 81V22
Received: October 2, 2007; in final form January 24, 2008; Published online February 2, 2008
Language:

Citation: Chitta Ranjan Das, Larisa V. Laperashvili, “Preon Model and Family Replicated $E_6$ Unification”, SIGMA, 4 (2008), 012, 15 pp.

Citation in format AMSBIB
\Bibitem{DasLap08}
\by Chitta Ranjan Das, Larisa V.~Laperashvili
\paper Preon Model and Family Replicated $E_6$ Unification
\jour SIGMA
\yr 2008
\vol 4
\papernumber 012
\totalpages 15
\mathnet{http://mi.mathnet.ru/sigma265}
\crossref{https://doi.org/10.3842/SIGMA.2008.012}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2393315}
\zmath{https://zbmath.org/?q=an:1133.81365}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000267267800012}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857339650}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Das C.R., Laperashvili L., “Seesaw scales and steps from the standard model towards superstring-inspired flipped $E_6$”, Int. J. Mod. Phys. A, 24:32 (2009), 6011–6033  crossref  zmath  adsnasa  isi  elib  scopus
    2. Das C.R., Laperashvili L.V., Tureanu A., “Cosmological constant in a model with superstring-inspired $E_6$ unification and shadow $\theta$-particles”, European Phys. J. C, 66:1-2 (2010), 307–324  crossref  adsnasa  isi  scopus
    3. Xu X., “A Cubic E-6-Generalization of the Classical Theorem on Harmonic Polynomials”, J Lie Theory, 21:1 (2011), 145–164  mathscinet  zmath  isi  elib
    4. Marrani A., Truini P., “Exceptional Lie Algebras, Su(3) and Jordan Pairs: Part 2. Zorn-Type Representations”, J. Phys. A-Math. Theor., 47:26 (2014), 265202  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  • Symmetry, Integrability and Geometry: Methods and Applications
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