Type IIA Moduli Stabilization

TL;DR

This paper shows that flux compactifications in type IIA string theory can stabilize all geometric moduli classically, producing a large family of supersymmetric vacua with desirable properties, and explores the landscape of these solutions.

Contribution

It explicitly constructs an infinite family of supersymmetric vacua with all moduli stabilized at large volume and weak coupling in type IIA string theory.

Findings

Existence of infinite supersymmetric vacua with stabilized moduli

All geometric moduli can be stabilized by fluxes

Vacua have large volume, weak coupling, small negative cosmological constant

Abstract

We demonstrate that flux compactifications of type IIA string theory can classically stabilize all geometric moduli. For a particular orientifold background, we explicitly construct an infinite family of supersymmetric vacua with all moduli stabilized at arbitrarily large volume, weak coupling, and small negative cosmological constant. We obtain these solutions from both ten-dimensional and four-dimensional perspectives. For more general backgrounds, we study the equations for supersymmetric vacua coming from the effective superpotential and show that all geometric moduli can be stabilized by fluxes. We comment on the resulting picture of statistics on the landscape of vacua.