Perturbative moduli stabilisation in type IIB/F-theory framework

TL;DR

This paper introduces a perturbative mechanism for stabilizing all moduli in type IIB/F-theory compactifications without non-perturbative effects, using fluxes, string loop corrections, and magnetic fields to achieve de Sitter vacua.

Contribution

It presents a novel perturbative approach to moduli stabilization in type IIB/F-theory, avoiding reliance on non-perturbative effects and enabling de Sitter vacua.

Findings

Complex structure moduli and axion-dilaton are stabilized by fluxes.

Kähler moduli are stabilized via string loop corrections and magnetic fluxes.

A de Sitter vacuum is achieved through logarithmic string loop corrections.

Abstract

We propose a new mechanism of (geometric) moduli stabilisation in type IIB/F-theory four-dimensional compactifications on Calabi-Yau manifolds, in the presence of 7-branes, that does not rely on non-perturbative effects. Complex structure moduli and the axion-dilaton system are stabilised in the standard way, without breaking supersymmetry, using 3-form internal fluxes. K\"ahler class moduli stabilisation utilises perturbative string loop corrections, together with internal magnetic fields along the D7-branes world-volume leading to Fayet-Iliopoulos D-terms in the effective supergravity action. The main ingredient that makes the stabilisation possible at a de Sitter vacuum is the logarithmic dependence of the string loop corrections in the large two-dimensional transverse volume limit of the 7-branes.