Superpotentials in IIA compactifications with general fluxes

TL;DR

The paper develops a systematic approach to obtain four-dimensional N=1 effective supergravity data from higher-supersymmetry string compactifications by exploiting N=4 gauged supergravity. It explicitly builds the Kähler potential and flux-induced superpotentials for Type IIA on T^6/(Z_2×Z_2) with D6-branes, mapping fluxes and gaugings to W and K. Through a detailed analysis of NS-NS, R-R, and geometric fluxes, it demonstrates no-scale models and, notably, a complete stabilization of all seven moduli in an AdS_4 vacuum, a feat not achievable in the heterotic setup. The results provide a coherent framework to classify flux configurations, understand their 4D vacuum structures, and connect flux data to ten-dimensional dynamics and brane content. The work highlights the richness of IIA fluxes (including F_0, F_2, F_4, F_6) in achieving moduli stabilization and sets the stage for future extensions to brane excitations and more general compactifications.

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.