Kahler Moduli Inflation Revisited

TL;DR

This paper revisits Kahler moduli inflation, demonstrating stable inflationary solutions with specific spectral tilt predictions, through detailed numerical analysis of the scalar potential in type IIB flux compactifications.

Contribution

It provides a comprehensive numerical study showing stable inflationary trajectories in Kahler moduli with a predictable spectral index.

Findings

Existence of inflationary solutions with all fields active

Presence of an attraction basin leading to stable inflationary trajectories

Predicted spectral index n_s approximately 0.96 for 60 e-folds

Abstract

We perform a detailed numerical analysis of inflationary solutions in Kahler moduli of type IIB flux compactifications. We show that there are inflationary solutions even when all the fields play an important role in the overall shape of the scalar potential. Moreover, there exists a direction of attraction for the inflationary trajectories that correspond to the constant volume direction. This basin of attraction enables the system to have an island of stability in the set of initial conditions. We provide explicit examples of these trajectories, compute the corresponding tilt of the density perturbations power spectrum and show that they provide a robust prediction of n_s approximately 0.96 for 60 e-folds of inflation.