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

TL;DR

This work develops a dual formulation of type IIA with D6/O6 on $T^6/(Z_2\times Z_2)$ in the presence of NSNS, RR and geometric fluxes to study ${\cal N}=1$ vacua. By solving the Bianchi identities within generalized Scherk--Schwarz reductions, the authors derive the ${\cal N}=1$ four-dimensional potential and a geometrically flavored superpotential that incorporate flux mixing beyond standard ${\cal N}=4$ gaugings. They provide explicit flux configurations yielding fully stabilized seven closed-string moduli in supersymmetric AdS$_4$ vacua and discuss how these relate to, but can extend beyond, ${\cal N}=4$ truncations. The results offer a controlled framework for perturbative moduli stabilization in IIA flux compactifications and set the stage for incorporating brane dynamics and warping in future work.

Abstract

We consider N=1 compactifications of the type-IIA theory on the T6/(Z2xZ2) 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.