Fluxes and gaugings: N = 1 effective superpotentials

TL;DR

This paper explores the connection between flux compactifications in string theory and effective supergravity theories, deriving explicit models with stabilized moduli and cosmological features in type IIA orientifolds.

Contribution

It provides a detailed derivation of the N=1 supergravity superpotential and Kähler potential from flux compactifications, including new models with stabilized moduli and AdS vacua.

Findings

Derived explicit supergravity models from flux compactifications.

Constructed new no-scale and cosmologically interesting models.

Identified a model with all main moduli stabilized in AdS vacuum.

Abstract

We illustrate the correspondence between the N=1 superstring compactifications with fluxes, the N=4 gauged supergravities and the superpotential and K\"ahler potential of the effective N=1 supergravity in four dimensions. In particular we derive, in the presence of general fluxes, the effective N=1 supergravity theory associated to the type IIA orientifolds with D6 branes, compactified on $T^6/(Z_2 \times Z_2)$. We construct explicit examples with different features: in particular, new IIA no-scale models, new models with cosmological interest and a model which admits a supersymmetric AdS$_4$ vacuum with all seven main moduli ($S, T_A, U_A,A=1,2,3$) stabilized.