Aspects of supersymmetry breaking driven inflation in orbifold models

TL;DR

This paper investigates how supersymmetry breaking in five-dimensional supergravity models with orbifold compactification influences inflaton potentials, potentially altering inflationary predictions and confronting observational constraints.

Contribution

It introduces gravitationally induced corrections to inflaton potentials in orbifold supergravity models and analyzes their impact on inflationary cosmology.

Findings

Corrections can significantly modify inflationary predictions.

Models remain compatible with current observations but face challenges with scalar power spectrum and tensor-to-scalar ratio.

Enhanced scalar power spectrum may lead to tensor-to-scalar ratios outside observational limits.

Abstract

We consider gravitationally induced corrections to inflaton potentials driven by supersymmetry breaking in a five-dimensional supergravity, compactified on a $ S_1/Z_2 $ orbifold. The supersymmetry breaking takes place on the hidden brane and is transmitted to the visible brane through finite one loop graphs giving rise to an inflaton potential which includes gravitationally induced terms. These corrections are significant for inflationary cosmology and have the potential to modify the predictions of widely studied supergravity models if the latter are embedded in this framework. To explore these effects we examine two classes of models those inspired by no-scale supergravity models and $\alpha$-attractors. Both models are compatible with current cosmological observations but face chalenges in reconciling enhanced values for the scalar power spectrum $ P_\zeta$ with cosmological data, particularly regarding the tensor to scalar ratio $r$. In fact $ P_\zeta \gtrsim 10^{-2}$ results to $ r > \mathcal{O} (0.1) $, outside the limits put by current data.