Moduli stabilization with non-Abelian fluxes

TL;DR

This paper explores how non-Abelian fluxes on D9-branes in type-IIB string theory can stabilize all complex structure moduli and some Kähler moduli in a toroidal orientifold compactification.

Contribution

It demonstrates, through explicit examples, that non-Abelian fluxes can effectively stabilize all complex structure moduli and some Kähler moduli in this setting.

Findings

All complex structure moduli are stabilized.

Some Kähler moduli are stabilized.

Non-Abelian fluxes provide a viable stabilization mechanism.

Abstract

We study stabilization of moduli in the type--IIB superstring theory on the six-dimensional toroidal orientifold $\T^6/\Omega\cdot(-1)^{F_L}\cdot\Z_2$. We consider background space-filling D9-branes wrapped on the orientifold along with non-Abelian fluxes on its world-volume and demonstrate with two examples that this can stabilize all the complex structure moduli and some of the K\"ahler moduli.