Freezing of Moduli with Fluxes in Three Dimensions

TL;DR

This paper explores how fluxes in type IIA string theory compactified on T^7 can stabilize moduli in three-dimensional models, demonstrating configurations with various supersymmetries and significant moduli freezing.

Contribution

It provides explicit flux configurations that stabilize moduli in three-dimensional string compactifications with different supersymmetry levels.

Findings

Certain flux setups freeze all but one modulus.

Multiple supersymmetry configurations are constructed.

The moduli stabilization mechanism is explicitly demonstrated.

Abstract

We study warped compactifications to three dimensions, realized as an orientifold of type IIA string theory on T^7. By turning on 3- and 4-form fluxes on the torus in a supersymmetric way, we generate a potential for the moduli fields. We present various flux configurations with N=1,2,3,4,5,6 supersymmetries and count the number of moduli in each case. In particular, we show that there are N=1 configurations where all but one of the moduli are frozen.