Non-perturbative stabilization of two K\"ahler moduli in type-IIB/F theory and the inflaton potential

TL;DR

This paper presents a method for stabilizing two K"ahler moduli non-perturbatively within a type-IIB/F theory framework, leading to inflaton potentials compatible with cosmological observations.

Contribution

It introduces a novel stabilization mechanism combining perturbative and non-perturbative effects for K"ahler moduli in a specific string compactification setup.

Findings

Achieved de Sitter vacua through K"ahler moduli stabilization and D-term contributions.

Derived slow-roll plateau-type inflaton potentials consistent with observations.

Obtained cosmological parameters aligning with experimental data.

Abstract

We consider a combination of perturbative and non-perturbative corrections in K\"ahler moduli stabilizations in the configuration of three magnetised intersecting D7 branes in the type-IIB/F theory, compactified on the 6d T^6/Z_N orbifold of Calabi-Yau three-fold (CY_3). Two of the K\"ahler moduli are stabilized non-perturbatively, out of the three which get perturbative corrections up to one-loop-order multi-graviton scattering amplitudes in the large volume scenario. In this framework, the dS vacua are achieved through all K\"ahler moduli stabilizations by considering the D-term. We obtain inflaton potentials of slow-roll plateau-type, which are expected by recent cosmological observations. Calculations of cosmological parameters with the potentials yield experimentally favoured values.