Vacua Analysis in Extended Supersymmetry Compactifications

We analyse geometric type IIA flux compactifications leading to N=4 gauged supergravities in four dimensions. The complete landscape of isotropic vacua is presented, which turns out to belong to a unique theory. The solutions admit an uplift to maximal supergravity due to the vanishing of the flux-induced tadpoles for all the supersymmetry-breaking branes. Such an uplift is sketched out and the full N=8 mass spectra are discussed. We find the interesting presence of a non-supersymmetric and nevertheless stable minimum.