Inflationary evolution in quantum cosmology from FRLW supersymmetric models

TL;DR

This paper explores inflationary models within FRLW supersymmetric quantum cosmology, solving the Wheeler-DeWitt equation analytically and analyzing the scalar field as a clock to understand inflationary evolution.

Contribution

It provides new analytic solutions to the Wheeler-DeWitt equation in supersymmetric cosmology and examines the scalar field as a clock for inflationary dynamics.

Findings

Analytic solutions for the Wheeler-DeWitt equation in supersymmetric models.

Effective time-dependent wave function and scale factor mean value.

Consistent inflationary scenarios derived from various superpotentials.

Abstract

We consider inflationary scenarios for FRLW supersymetric models with a scalar field, whose Wheeler-DeWitt equation has analytic solutions. Following previous work of the authors, we analyse the setting of the scalar field as clock, leading to an effective time dependent wave function, and a time dependent mean value of the scale factor. We study several superpotentials, which lead to an evolution that corresponds to consistent inflationary scenarios.