N = 1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes

We consider N = 1 compactifications of the type-IIA theory on the T6/(Z2 x Z2) orbifold and O6 orientifold, in the presence of D6-branes and general NSNS, RR and Scherk-Schwarz geometrical fluxes. Introducing a suitable dual formulation of the theory, we derive and solve the Bianchi identities, and show how certain combinations of fluxes can relax the constraints on D6-brane configurations coming from the cancellation of RR tadpoles. We then compute, via generalized dimensional reduction, the N = 1, D = 4 effective potential for the seven main moduli, and comment on the relation with truncated N = 4 gaugings. As a byproduct, we obtain a general geometrical expression for the superpotential. We finally identify a family of fluxes, compatible with all Bianchi identities, that perturbatively stabilize all seven moduli in supersymmetric AdS4