C. R. Das, L. V. Laperashvili, A. Tureanu
We consider a Graviweak Unification model in the assumption of the existence of the hidden (invisible) sector of our Universe parallel to our visible world. This Hidden World (HW) is assumed to be a Mirror World (MW) with broken mirror parity. We start with a diffeomorphism invariant theory of a gauge field valued in a Lie algebra, g, which is broken spontaneously to the direct sum of the spacetime Lorentz algebra and the Yang-Mills algebra: \tilde g = su(2)^(grav)_L \oplus su(2)_L -- in the ordinary world, and \tilde g' = su(2)'^(grav)_R \oplus su(2)'_R -- in the hidden world. Using an extension of the Plebanski action for general relativity, we recover the actions for gravity, SU(2) Yang-Mills and Higgs fields in both (visible and invisible) sectors of the Universe, also the total action. After symmetry breaking, all physical constants, including the Newtons constants, cosmological constants, Yang-Mills couplings, and other parameters, are determined by a single parameter g presented in the initial action, and by the Higgs VEVs. The Dark Energy problem of this model predicts too large supersymmetric breaking scale (\sim 10^10-10^12 GeV). Therefore, this prediction excludes to see supersymmetry in the LHC experiments.
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http://arxiv.org/abs/1304.3069
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