Supersymmetric Barotropic FRW Model and Dark Energy
J.J. Rosales, V.I. Tkach
TL;DR
This paper develops an $n=2$ supersymmetric model of the FRW universe with matter, enabling a novel approach to quantum constraints and revealing a relation between vacuum and dust matter energy densities.
Contribution
It introduces a supersymmetric framework for the FRW universe with matter, allowing the square root of the Wheeler-DeWitt equation to be taken and solved.
Findings
Derived a supersymmetric algebra for the FRW model.
Solved the quantum constraint using the supersymmetric approach.
Established a relation between vacuum energy density and dust matter energy density.
Abstract
Using the superfield approach we construct the supersymmetric lagrangian for the FRW Universe with barotropic perfect fluid as matter field. 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.
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