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DYONS NEAR THE PLANCK SCALE

    https://doi.org/10.1142/S0217751X07037937Cited by:0 (Source: Crossref)

    In this paper we suggest a new model of preons–dyons making composite quark–leptons and bosons, described by the supersymmetric string-inspired flipped gauge group of symmetry. This approach predicts the possible extension of the Standard Model to the family replicated gauge group model of type GNfam, where Nfam is the number of families and G is the symmetry group: G = SMG, SU(5), SO(10), E6, etc. Here E6 and are nondual and dual sectors of theory with hyperelectric g and hypermagnetic charges, respectively. Starting with an idea that the most realistic model leading to the unification of all fundamental interactions (including gravity) is the "heterotic" string-derived flipped model, we have assumed that at high energies μ > 1016GeV there exists the following chain of the flipped models:

    ended by the flipped E6 gauge group of symmetry at the scale MSSG ~ 1018GeV. Suggesting N = 1 supersymmetric preonic model we have considered preons as dyons confined by hypermagnetic strings in the region of energies μ≲MPl. Our model is based on the recent theory of composite non-Abelian flux tubes in SQCD — analog ANO-strings. Considering the breakdown of E6 and at the Planck scale into the SU(6) × U(1) gauge group, we have shown that the six types of k-strings — composite N = 1 supersymmetric non-Abelian flux tubes — are created by the condensation of spreons–dyons near the Planck scale and have six fluxes quantized according to the Z6 center group of SU(6): Φn = nΦ0(n = ±1, ±2, ±3). These fluxes give three types of k-strings with tensions Tk = kT0, where k = 1, 2, 3, and produce three (and only three) generations of composite quark–leptons and bosons giving a very specific type of "horizontal symmetry." Thus, the present model predicts Ngen = Nfam = 3. It was shown that our preonic strings are very thin, with radius Rstr ~ 10-18GeV-1, and their tension T0 is enormously large: T0 ~ 1038GeV2. It was shown that the condensation of spreons near the Planck scale gives the phase transition at some scales Mcrit and , which correspond to the following breakdowns of E6 (or ) for preons: E6 →SU(6)×U(1), or . We have calculated the critical values of gauge coupling constants: α-1(Mcrit) ≈4.23 and . It was investigated that in our world we have quark–leptons and gauge bosons Aμ in the region of energies μ≲MPl, but monopolic "quark–leptons" and dual gauge fields exist in the region μ≳MPl.

    PACS: 12.60.Rc, 11.25.Wx, 12.10.-g, 14.80.Hv
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