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Cosmological constant in a model with superstring-inspired E 6 unification and shadow θ-particles

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Abstract

We have developed the concept of parallel existence of the ordinary (O-) and mirror (M-), or shadow (Sh-) worlds. In the first part of the paper we consider a mirror world with broken mirror parity and the breaking E 6→SU(3)3 in both worlds. We show that in this case the evolutions of coupling constants in the O- and M-worlds are not identical, having different parameters for similar evolutions. E 6 unification, inspired by superstring theory, restores the broken mirror parity at the scale ∼1018 GeV. With the aim to explain the tiny cosmological constant, in the second part we consider the breakings: E 6→SO(10)×U(1) Z in the O-world, and E′6→SU(6)′×SU(2)′ θ in the Sh-world. We assume the existence of shadow θ-particles and the low-energy symmetry group SU(3)′ C ×SU(2)′ L ×SU(2)′ θ ×U(1)′ Y in the shadow world, instead of the Standard Model. The additional non-Abelian SU(2)′ θ group with massless gauge fields, “thetons”, has a macroscopic confinement radius 1/Λ′ θ . The assumption that Λ′ θ ≈2.3⋅10−3 eV explains the tiny cosmological constant given by recent astrophysical measurements. In this way the present work opens the possibility to specify a grand unification group, such as E 6, from cosmology.

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Authors and Affiliations

  1. Centre for Theoretical Particle Physics, Technical University of Lisbon, Avenida Rovisco Pais, 1, 1049-001, Lisbon, Portugal

    C. R. Das

  2. The Institute of Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, 117218, Moscow, Russia

    L. V. Laperashvili

  3. Department of Physics, University of Helsinki and Helsinki Institute of Physics, P.O. Box 64, 00014, Helsinki, Finland

    A. Tureanu

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  1. C. R. Das
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Dedicated to the Memory of Kazuhiko Nishijima, the founder of the concept of Shadow Universe [1].

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Das, C.R., Laperashvili, L.V. & Tureanu, A. Cosmological constant in a model with superstring-inspired E 6 unification and shadow θ-particles. Eur. Phys. J. C 66, 307–324 (2010). https://doi.org/10.1140/epjc/s10052-009-1229-2

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