Supersymmetric classical cosmology

TL;DR

This paper develops a supersymmetric cosmological model with fermionic partners, deriving modified Einstein-Klein-Gordon equations, analyzing solutions for various potentials, and discussing implications for early Universe dynamics.

Contribution

It introduces a supersymmetric FRW model with superfield interactions, deriving classical equations of motion from the super-Wheeler-DeWitt equation, and explores their cosmological solutions.

Findings

Supersymmetric equations include extra radiation and stiff matter terms.

Solutions differ from standard models, especially with exponential potentials.

Implications for early Universe evolution are discussed.

Abstract

In this work a supersymmetric cosmological model is analyzed in which we consider a general superfield action of a homogeneous scalar field supermultiplet interacting with the scale factor in a supersymmetric FRW model. There appear fermionic superpartners associated with both the scale factor and the scalar field, and classical equations of motion are obtained from the super-Wheeler-DeWitt equation through the usual WKB method. The resulting supersymmetric Einstein-Klein-Gordon equations contain extra radiation and stiff matter terms, and we study their solutions in flat space for different scalar field potentials. The solutions are compared to the standard case, in particular those corresponding to the exponential potential, and their implications for the dynamics of the early Universe are discussed in turn.