A sufficient condition for de Sitter vacua in type IIB string theory

TL;DR

This paper establishes a sufficient condition for achieving meta-stable de Sitter vacua in type IIB string theory flux compactifications, considering moduli stabilization and the Kähler uplifting mechanism.

Contribution

It provides a general parametric criterion for de Sitter vacua existence in type IIB string theory, incorporating all moduli stabilization via perturbative and non-perturbative effects.

Findings

Derives a condition on flux superpotential and Calabi-Yau data for de Sitter vacua.

Includes stabilization of all moduli at large volume.

Offers a more general understanding of Kähler uplifting in string compactifications.

Abstract

We derive a sufficient condition for realizing meta-stable de Sitter vacua with small positive cosmological constant within type IIB string theory flux compactifications with spontaneously broken supersymmetry. There are a number of `lamp post' constructions of de Sitter vacua in type IIB string theory and supergravity. We show that one of them -- the method of `K\"ahler uplifting' by F-terms from an interplay between non-perturbative effects and the leading $\alpha'$-correction -- allows for a more general parametric understanding of the existence of de Sitter vacua. The result is a condition on the values of the flux induced superpotential and the topological data of the Calabi-Yau compactification, which guarantees the existence of a meta-stable de Sitter vacuum if met. Our analysis explicitly includes the stabilization of all moduli, i.e. the K\"ahler, dilaton and complex structure moduli, by the interplay of the leading perturbative and non-perturbative effects at parametrically large volume.