Supersymmetric Cosmology and Dark Energy
J.J. Rosales, V.I. Tkach
TL;DR
This paper develops an N=2 supersymmetric model of the Friedmann-Robertson-Walker universe with matter, enabling quantum solutions that relate vacuum energy to matter density, advancing understanding of dark energy.
Contribution
It introduces a supersymmetric framework for cosmology that allows solving the quantum constraints of the universe with matter fields.
Findings
Derived a supersymmetric algebra for the FRW universe.
Solved the quantum constraint using the square root of the Wheeler-DeWitt equation.
Established a relation between vacuum energy density and dust matter energy density.
Abstract
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.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Relativity and Gravitational Theory