On SUSY Restoration in Single-Superfield Inflationary Models of Supergravity

TL;DR

This paper investigates conditions for restoring supersymmetry after inflation in supergravity models with a single superfield, proposing new models with stabilized fields and adjustable SUSY breaking.

Contribution

It introduces explicit supergravity inflation models with a quartic Kähler potential term that achieve SUSY restoration and field stabilization post-inflation.

Findings

New viable inflationary models satisfying SUSY restoration conditions

Successful stabilization of the inflaton's superpartner during and after inflation

Possibility of small, adjustable SUSY breaking with a tiny cosmological constant

Abstract

We study the conditions of restoring supersymmetry (SUSY) after inflation in the supergravity-based cosmological models with a single chiral superfield and a quartic stabilization term in the K\"ahler potential. Some new, explicit, and viable inflationary models satisfying those conditions are found. The inflaton's scalar superpartner is dynamically stabilized during and after inflation. We also demonstrate a possibility of having small and adjustable SUSY breaking with a tiny cosmological constant.