Supersymmetric Cosmology and Dark Energy

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Using the superfield approach we construct the n = 2 supersymmetric lagrangian for the FRW Universe with perfect fluid as matter fields. The obtained supersymmetric algebra allowed us to take the square root of the Wheeler-DeWitt equation and solve the corresponding quantum constraint. This model leads to the relation between the vacuum energy density and the energy density of the dust matter.
This article is a contribution to the anniversary volume "The Problems of Modern Cosmology". On the occasion of the 50th birthday of Prof. S.D. Odintsov. Editor Prof. P.M. Lavrov

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