2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208126Using 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. LavrovGeneral Relativity and Quantum Cosmologytext