Superpotentials in IIA compactifications with general fluxes

TL;DR

This paper derives the effective N=1 supergravity for type IIA orientifold compactifications with fluxes, establishing a method to relate fluxes, gaugings, and superpotentials, and constructs models with stabilized moduli and AdS vacua.

Contribution

It introduces a general method linking N=1 superpotentials to gauged N=4 supergravity and provides explicit models with stabilized moduli and AdS vacua.

Findings

New IIA no-scale models

A supersymmetric AdS_4 vacuum with all moduli stabilized

Explicit flux-superpotential correspondence

Abstract

We derive the effective N=1, D=4 supergravity for the seven main moduli of type IIA orientifolds with D6 branes, compactified on T^6/(Z_2xZ_2) in the presence of general fluxes. We illustrate and apply a general method that relates the N=1 effective Kahler 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 AdS_4 vacuum with all seven main moduli stabilized.