Cosmological Constant in a Model with Superstring-Inspired E_6 Unification and Shadow Theta-Particles

C. R. Das; L. V. Laperashvili; A. Tureanu

doi:10.1140/epjc/s10052-009-1229-2

paper

Cosmological Constant in a Model with Superstring-Inspired E_6 Unification and Shadow Theta-Particles

arXiv:0902.4874 · doi:10.1140/epjc/s10052-009-1229-2

Abstract

We have developed a 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 $E_{6} \to S U (3)^{3}$ 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 $\sim 1 0^{18}$ GeV. With the aim to explain the tiny cosmological constant, in the second part we consider the breakings: $E_{6} \to S O (10) \times U (1)_{Z}$ -- in the O-world, and $E_{6}^{'} \to S U (6)^{'} \times S U (2)_{θ}^{'}$ -- in the Sh-world. We assume the existence of shadow $θ$ -particles and the low energy symmetry group $S U (3)_{C}^{'} \times S U (2)_{L}^{'} \times S U (2)_{θ}^{'} \times U (1)_{Y}^{'}$ in the shadow world, instead of the Standard Model. The additional non-Abelian $S U (2)_{θ}^{'}$ group with massless gauge fields, "theton", has a macroscopic confinement radius $1/ Λ_{θ}^{'}$ . The assumption that $Λ_{θ}^{'} \approx 2.3 \cdot 1 0^{- 3}$ 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.

Dedicated to the Memory of Kazuhiko Nishijima, the founder of the concept of Shadow Universe (32 pages, 4 figures)

Cosmological Constant in a Model with Superstring-Inspired E_6 Unification and Shadow Theta-Particles

Abstract

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