Moduli Potentials in Type IIA Compactifications with RR and NS Flux

TL;DR

This paper explores a class of type IIA string compactifications on Calabi-Yau manifolds with fluxes, generating potentials for various moduli, and relates them to gauged N=2 supergravity models, incorporating mirror symmetry for quantum corrections.

Contribution

It introduces a simple class of flux compactifications in type IIA string theory linked to gauged N=2 supergravity, detailing how the potential is determined by gauging data and Calabi-Yau properties.

Findings

Potential for moduli is generated by fluxes in these models.

The models correspond to gauged N=2 supergravities with explicit data.

Mirror symmetry helps determine quantum corrections in the models.

Abstract

We describe a simple class of type IIA string compactifications on Calabi-Yau manifolds where background fluxes generate a potential for the complex structure moduli, the dilaton, and the K\"ahler moduli. This class of models corresponds to gauged N=2 supergravities, and the potential is completely determined by a choice of gauging and by data of the N=2 Calabi-Yau model - the prepotential for vector multiplets and the quaternionic metric on the hypermultiplet moduli space. Using mirror symmetry, one can determine many (though not all) of the quantum corrections which are relevant in these models.