Inflation from Supersymmetric Quantum Cosmology

TL;DR

This paper derives a scalar field potential from supersymmetric quantum cosmology, identifying an exponential form as most suitable for inflation, and connects it to previously used potentials in cosmological models.

Contribution

It introduces a method to derive inflationary potentials from supersymmetric quantum cosmology, highlighting the exponential potential as particularly viable.

Findings

The exponential potential is favored for inflation scenarios.

A family of potentials was derived from anisotropic quantum cosmology.

The exponential potential aligns with cosmological data.

Abstract

We derive a special scalar field potential using the anisotropic Bianchi type I cosmological model from canonical quantum cosmology under determined conditions in the evolution to anisotropic variables $\beta_\pm$. In the process, we obtain a family of potentials that has been introduced by hand in the literature to explain cosmological data. Considering supersymmetric quantum cosmology, this family is scanned, fixing the exponential potential as more viable in the inflation scenario $\rm V (\phi) = V_0 \,e^{-\sqrt{3}\phi}$.