Stable vacua obtained from isotropic tori compactification might not be fully stable provided the existence of runaway directions in the Kähler 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 of Type IIB compactifications on a six-dimensional anisotropic torus threaded with standard and $S$-dual invariant nongeometric fluxes in the presence of orientifold 3-planes. In all de Sitter vacua the masses of the complex structure moduli are heavier than the Hubble scale suggesting that the axio-dilaton and Kähler moduli are natural candidates for small-field inflation. In this 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.

• Received 20 June 2013

DOI:https://doi.org/10.1103/PhysRevD.88.046008