Radiative K\"ahler moduli stabilization

TL;DR

This paper introduces a novel K"ahler moduli stabilization method in type IIB string theory using radiative corrections, resulting in a metastable de Sitter vacuum and predicting an ultralight axion.

Contribution

It presents a new stabilization mechanism leveraging radiative corrections in Calabi-Yau compactifications with positive Euler number, including uplift to de Sitter space.

Findings

Stable anti-de Sitter vacuum with broken supersymmetry.

Possible uplift to de Sitter vacuum with anti-D-branes.

Prediction of an ultralight axion.

Abstract

We propose a new type of K\"ahler moduli stabilization mechanisms in type IIB superstring theory on Calabi-Yau manifolds with the positive Euler number. The overall K\"ahler modulus can be perturbatively stabilized by radiative corrections due to sparticles. Its minimum is the anti-de Sitter vacuum, where supersymmetry is broken. We can uplift it to the de Sitter vacuum by introducing anti-D-branes, keeping the modulus stabilized. Although our numerical results depend on the choice of the cutoff scale and degeneracies of sparticles, at any rate there exist the parameter spaces where the masses of Kaluza-Klein and stringy modes are larger than the cutoff scale. Furthermore, this stabilization scenario predicts an ultralight axion.