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

TL;DR

This paper derives the effective potential for moduli in type-IIA string compactifications with fluxes, showing how fluxes can stabilize all moduli in supersymmetric AdS4 vacua.

Contribution

It introduces a dual formulation to solve Bianchi identities and provides a general expression for the superpotential in flux compactifications.

Findings

Fluxes can relax D6-brane RR tadpole constraints.

All seven moduli can be stabilized in supersymmetric AdS4.

A general geometrical superpotential expression is obtained.

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.