Preon Model and Family Replicated $E_6$ Unification
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : preon; dyon; monopole; unification; $E_6$.
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     author = {Chitta Ranjan Das and Larisa V. Laperashvili},
     title = {Preon {Model} and {Family} {Replicated} $E_6$ {Unification}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a11/}
}
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Chitta Ranjan Das; Larisa V. Laperashvili. Preon Model and Family Replicated $E_6$ Unification. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a11/

[1] Wilczek F., Zee A., “Horizontal interaction and weak mixing angles”, Phys. Rev. Lett., 42 (1979), 421–425 | DOI

[2] Bennett D. L., Nielsen H. B., Picek I., “Understanding fine structure constants and three generations”, Phys. Lett. B, 208 (1988), 275–280 | DOI

[3] Froggatt C. D., Nielsen H. B., Origin of symmetries, World Scientific, Singapore, 1991

[4] Phys. Atom. Nucl., 57 (1994), 471–478

[5] Nielsen H. B., Takanishi Y., “Neutrino mass matrix in anti-GUT with seesaw mechanism”, Nuclear Phys. B, 604 (2001), 405–425 ; hep-ph/0011062 | DOI

[6] Nielsen H. B., Takanishi Y., “Baryogenesis via lepton number violation in anti-GUT model”, Phys. Lett. B, 507 (2001), 241–251 ; hep-ph/0101307 | DOI

[7] Froggatt C. D., Nielsen H. B., Takanishi Y., “Family replicated gauge groups and large mixing angle solar neutrino solution”, Nucl. Phys. B, 631 (2002), 285–306 ; hep-ph/0201152 | DOI

[8] Froggatt C. D., Laperashvili L. V., Nielsen H. B., Takanishi Y., “Family replicated gauge group models”, Proceedings of Fifth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 23–29, 2003, Kyiv), Proceedings of Institute of Mathematics, 50, no. 2, eds. A. G. Nikitin, V. M. Boyko, R. O. Popovych and I. A. Yehorchenko, Kyiv, 2004, 737–743 ; hep-ph/0309129 | Zbl

[9] Bennett D. L., Nielsen H. B., “Prediction for nonabelian fine structure constants from multicriticality”, Internat. J. Modern Phys. A, 9 (1994), 5155–5200 ; hep-ph/9311321 | DOI

[10] Froggatt C. D., Nielsen H. B., “Standard model criticality prediction: top mass $173\pm 5$ GeV and Higgs mass $135\pm 9$ GeV”, Phys. Lett. B, 368 (1996), 96–102 ; hep-ph/9511371 | DOI

[11] Froggatt C. D., Laperashvili L. V., Nielsen H. B., “The fundamental-weak scale hierarchy in the standard model”, Phys. Atom. Nucl., 69 (2006), 67–80 ; hep-ph/0407102 | DOI

[12] Das C. R., Laperashvili L. V., “Phase transition in gauge theories, monopoles and the multiple point principle”, Internat. J. Modern Phys. A, 20 (2005), 5911–5988 ; hep-ph/0503138 | DOI | MR | Zbl

[13] Froggatt C. D., Nielsen H. B., “Trying to understand the standard model parameters”, Surveys High Energy Phys., 18 (2003), 55–75, Invited talk by H. B. Nielsen at the “XXXI ITEP Winter School of Physics” (February 18–26, 2003, Moscow, Russia) ; hep-ph/0308144 | DOI

[14] Das C. R., Laperashvili L. V., “Are preons dyons? Naturalness of three generations”, Phys. Rev. D, 74 (2006), 035007, 12 pp., ages ; hep-ph/0605161 | DOI

[15] Das C. R., Laperashvili L. V., Composite model of quark-leptons and duality, hep-ph/0606042

[16] Laperashvili L. V., Das C. R., “Dyons near the Planck scale”, Internat. J. Modern Phys. A, 22 (2007), 5211–5228 ; hep-ph/0606043 | DOI

[17] Green M. B., Schwarz J. H., Witten E., Superstring theory, Vol. 1, 2, Cambridge University Press, Cambridge, 1988 | MR

[18] Green M. B., Schwarz J. H., “Anomaly cancellation in supersymmetric $D=10$ gauge theory and superstring theory”, Phys. Lett. B, 149 (1984), 117–122 | DOI | MR

[19] Green M. B., Schwarz J. H., “Infinity cancellations in $SO(32)$ superstring theory”, Phys. Lett. B, 151 (1985), 21–25 | DOI | MR

[20] Gross D. J., Harvey J. A., Martinec E., Rohm R., “The heterotic string”, Phys. Rev. Lett., 54 (1985), 502–505 | DOI | MR

[21] Gross D. J., Harvey J. A., Martinec E., Rohm R., “Heterotic string theory. 1. The free heterotic string”, Nuclear Phys. B, 256 (1985), 253–284 | DOI | MR

[22] Gross D. J., Harvey J. A., Martinec E., Rohm R., “Heterotic string theory. 2. The interacting heterotic string”, Nuclear Phys. B, 267 (1986), 75–124 | DOI | MR

[23] Pati J. C., “Magnetism as the origin of preon binding”, Phys. Lett. B, 98 (1981), 40–44 | DOI | MR

[24] Pati J. C., Salam A., Strathdee J., “A preon model with hidden electric and magnetic type charges”, Nuclear Phys. B, 185 (1981), 416–428 | DOI

[25] Marshakov A., Yung A., “Non-Abelian confinement via Abelian flux tubes in softly broken $N=2$ SUSY QCD”, Nuclear Phys. B, 647 (2002), 3–48 ; hep-th/0202172 | DOI | MR | Zbl

[26] Markov V., Marshakov A., Yung A., “Non-Abelian vortices in $N=1^*$ gauge theory”, Nucl. Phys. B, 709 (2005), 267–295 ; hep-th/0408235 | DOI | MR | Zbl

[27] Gorsky A., Shifman M.,Yung A., “Non-Abelian Meissner effect in Yang–Mills theories at weak coupling”, Phys. Rev. D, 71 (2005), 045010, 16 pp., ages ; hep-th/0412082 | DOI

[28] Shifman M., Yung A., “Non-Abelian flux tubes in SQCD: supersizing world-sheet supersymmetry”, Phys. Rev. D, 72 (2005), 085017, 19 pp., ages ; hep-th/0501211 | DOI | MR

[29] Auzzi R., Shifman M., Yung A., “Composite non-Abelian flux tubes in $N=2$ SQCD”, Phys. Rev. D, 73 (2006), 105012, 15 pp., ages ; Erratum Phys. Rev. D, 76 (2007), 109901, 3 pp., ages ; hep-th/0511150 | DOI | MR | DOI

[30] Chaichian M., Chkareuli J. L., Kobakhidze A., “Composite quarks and leptons in higher space-time dimensions”, Phys. Rev. D, 66 (2002), 095013, 7 pp., ages ; hep-ph/0108131 | DOI

[31] Sov. Phys. JETP, 5 (1957), 1174–1182

[32] Nielsen H. B., Olesen P., “Vortex line models for dual strings”, Nuclear Phys. B, 61 (1973), 45–61 | DOI

[33] Cecotti S., Derendinger J. P., Ferrara S., Girardello L., “Properties of $E_6$ breaking and superstring theory”, Phys. Lett. B, 156 (1985), 318–326 | DOI | MR

[34] Das C. R., Laperashvili L. V., Seesaw scales and the steps from the standard model towards superstring-inspired flipped $E_6$, hep-ph/0604052

[35] Pati J. C., Salam A., “Lepton number as the fourth color”, Phys. Rev. D, 10 (1974), 275–289 ; Erratum Phys. Rev. D, 11 (1975), 703–703 | DOI | DOI

[36] Mohapatra R. N., Pati J. C., “Left-right gauge symmetry and an isoconjugate model of CP violation”, Phys. Rev. D, 11 (1975), 566–571 | DOI

[37] Mohapatra R. N., Pati J. C., “A natural left-right symmetry”, Phys. Rev. D, 11 (1975), 2558–2561 | DOI

[38] Phys. Atom. Nucl., 62 (1999), 1729–1738 ; hep-ph/9711390

[39] Matinyan S. G., Savvidy G. K., “Vacuum polarization induced by the intense gauge field”, Nuclear Phys. B, 134 (1978), 539–545 | DOI

[40] Matinyan S. G., Savvidy G. K., “On the radiative corrections to classical Lagrangian and dynamical symmetry breaking”, Yad. Fiz., 25 (1977), 218–226

[41] Sov. J. Nucl. Phys., 26 (1977), 214–217

[42] Nielsen H. B., Olesen P., “A quantum liquid model for the QCD vacuum gauge and rotational invariance of domained and quantized homogeneous color fields”, Nuclear Phys. B, 160 (1979), 380–396 | DOI

[43] Bennett D. L., Laperashvili L. V., Nielsen H. B., “Relation between finestructure constants at the Planck scale from multiple point principle”, Proceedings of the 9th Workshop on “What Comes Beyond the Standard Model” (September 16–26, 2006, Bled, Slovenia), eds. S. Ansoldi et al., DMFA-Zaloznistvo, Ljubljana, Slovenia, 2006, 10–24 ; hep-ph/0612250

[44] Bennett D. L., Laperashvili L. V., Nielsen H. B., “Finestructure constants at the Planck scale from multiple point principle”, Proceedings of the 10th Workshop on “What Comes Beyond the Standard Model” (July 17–27, 2007, Bled, Slovenia), 8, no. 2, eds. N. Mankoc Borstnik et al., DMFA-Zaloznistvo, Ljubljana, Slovenia, 2007, 1–30 ; arXiv:0711.4681

[45] Yao W.-M. et al. (Particle Data Group), “Review of particle physics”, J. Phys. G, 33 (2006), 1–1232 | DOI

[46] Laperashvili L. V., Nielsen H. B., “The problem of monopoles in the standard and family replicated models”, Proceedings of the 11th “Lomonosov Conference on Elementary Particle Physics” (August 21–27, 2003, Moscow, Russia), 2003, 331–337, “Moscow 2003, Particle Physics in Laboratory, Space and Universe”; hep-th/0311261

[47] Phys. Atom. Nucl., 66 (2003), 2070–2077 ; hep-th/0212213 | DOI