Inflation and de Sitter conjectures in 8-dimensional $R+\gamma R^n$ Gravity

TL;DR

This paper investigates inflationary potentials derived from modified 8-dimensional gravity models, compares their predictions with experimental data, and examines their compatibility with de Sitter conjectures related to quantum gravity.

Contribution

It introduces and analyzes inflationary potentials from $R+ extgamma R^n$ gravity in 8 dimensions, assessing their observational viability and theoretical consistency with de Sitter conjectures.

Findings

Predicted scalar-to-tensor ratio aligns with observations

Spectral index falls within experimental bounds

Models satisfy de Sitter conjecture criteria

Abstract

In this work, we study two potentials, the single-field and the two-field, from the modified ($R+\gamma R^n$) gravity in D=8 dimensions. From those potentials, we calculate four observable quantities in inflation, including scalar-to-tensor ratio, spectral index, running index and scalar amplitude. Then, we compare them to the experimental data to verify the righteousness of the models. Last but not least, de Sitter conjectures are brought up with these two potentials to investigate that it is possible or not the theory lay in the Landscape of quantum gravity.