de Sitter String Vacua from Kahler Uplifting

TL;DR

The paper addresses the challenge of stabilizing all geometric moduli in a controlled de Sitter vacuum within type IIB string theory. It shows that the leading α'^3 correction to the Kähler potential, when combined with non-perturbative superpotential contributions and flux stabilization of the dilaton and complex structure, yields metastable dS vacua at parametrically large volumes with spontaneous SUSY breaking. A scaling argument demonstrates that the dS minimum can be pushed to large volume while keeping the α' expansion small, and an explicit quintic Calabi–Yau example demonstrates S and U stabilization together with a dS vacuum at weak coupling. The results provide a calculable, uplift-free mechanism for dS vacua on a broad class of h^{1,1}=1 Calabi–Yau manifolds, with potential implications for cosmology and SUSY-breaking scales.

Abstract

We present a new way to construct de Sitter vacua in type IIB flux compactifications, in which the interplay of the leading perturbative and non-perturbative effects stabilize all moduli in dS vacua at parametrically large volume. Here, the closed string fluxes fix the dilaton and the complex structure moduli while the universal leading perturbative quantum correction to the Kahler potential together with non-perturbative effects stabilize the volume Kahler modulus in a dS_4-vacuum. Since the quantum correction is known exactly and can be kept parametrically small, this construction leads to calculable and explicitly realized de Sitter vacua of string theory with spontaneously broken supersymmetry.