More stable dS vacua from S-dual non-geometric fluxes

TL;DR

This paper discovers stable de Sitter and Anti-de Sitter vacua in Type IIB compactifications with non-geometric fluxes using a genetic algorithm, highlighting their potential for small-field inflation and stability in extended theories.

Contribution

It introduces explicit flux configurations leading to stable vacua, including new solutions on isotropic and semi-isotropic tori, using a genetic algorithm approach.

Findings

Stable dS and AdS vacua found with non-geometric fluxes.

Masses of complex structure moduli exceed the Hubble scale.

Solutions are free of solitonic objects, suitable for lifting to extended supersymmetric theories.

Abstract

Stable vacua obtained from isotropic tori compactification might not be fully stable provided the existence of runaway directions in the Kaehler directions of anisotropy. By implementing a genetic algorithm we report the existence of explicit flux configurations leading to stable de Sitter and Anti- de Sitter vacua, consisting on Type IIB compactifications on a 6-dimensional anisotropic torus threaded with standard and S-dual invariant non-geometric fluxes in the presence of orientifold 3-planes. In all dS vacua the masses of the complex structure moduli are heavier than the Hubble scale suggesting that the axio-dilaton and Kaeahler moduli are natural candidates for small-field inflation. In the way, we also report new solutions on isotropic and semi-isotropic tori compactifications. Finally, we observe that, since all our solutions are obtained in the absence of solitonic objects, they are good candidates to be lifted to stable solutions in extended supersymmetric theories.