Swampland Program for Hypergeometric Inflation Scenarios in Rescaled Gravity

TL;DR

This paper explores hypergeometric stringy corrections in rescaled gravity to develop inflationary models, deriving potentials and testing their viability against observational data and swampland criteria.

Contribution

It introduces generalized exponential potentials from hypergeometric behaviors and assesses their compatibility with cosmological observations and swampland constraints.

Findings

Derived viable inflationary models consistent with Planck data.

Validated models against swampland criteria.

Identified specific parameter points yielding successful inflation.

Abstract

In this paper, we investigate hypergeometric stringy corrections in the swampland program for rescaled gravity. Precisely, we study inflationary models from Gauss-Bonnet hypergeometric scalar couplings via the falsification scenario. We first derive generalized exponential potentials from such hypergeometric behaviors. Then, we examine certain selected scalar potentials by computing the relevant cosmological quantities using the slow-roll mechanism. Choosing specific points in the corresponding moduli space, we provide viable findings corroborated by Planck observational data and checked by the swampland criteria.