Moduli stabilization with open and closed string fluxes

TL;DR

This paper demonstrates how to stabilize all moduli in a type IIB string compactification on T^6/Z_2 using a combination of open string magnetic fluxes and closed string 3-form fluxes, ensuring supersymmetry and tadpole cancellation.

Contribution

It provides explicit string constructions that stabilize all moduli with tunable parameters, combining open and closed string fluxes while maintaining supersymmetry and tadpole cancellation.

Findings

All moduli can be stabilized using fluxes and magnetic fields.

Explicit models achieve large radii and perturbative string coupling.

Open and closed string fluxes can be combined for complete stabilization.

Abstract

We study the stabilization of all closed string moduli in the T^6/Z_2 orientifold, using constant internal magnetic fields and 3-form fluxes that preserve N=1 supersymmetry in four dimensions. We first analyze the stabilization of Kahler class and complex structure moduli by turning on magnetic fluxes on different sets of D9 branes that wrap the internal space T^6/Z_2. We present explicit consistent string constructions, satisfying in particular tadpole cancellation, where the radii can take arbitrarily large values by tuning the winding numbers appropriately. We then show that the dilaton-axion modulus can also be fixed by turning on closed string constant 3-form fluxes, consistently with the supersymmetry preserved by the magnetic fields, providing at the same time perturbative values for the string coupling. Finally, several models are presented combining open string magnetic fields that fix part of Kahler class and complex structure moduli, with closed string 3-form fluxes that stabilize the remaining ones together with the dilaton.