Superpotentials in IIA compactifications with general fluxes

We derive the effective N=1, D=4 supergravity for the seven main moduli of type IIA orientifolds with D6-branes, compactified on T6/(Z2×Z2) in the presence of general fluxes. We illustrate and apply a general method that relates the N=1 effective Kähler potential and superpotential to a consistent truncation of gauged N=4 supergravity. We identify the correspondence between various admissible fluxes, N=4 gaugings and N=1 superpotential terms. We construct explicit examples with different features: in particular, new IIA no-scale models and a model which admits a supersymmetric AdS4 vacuum with all seven main moduli stabilized.