Deforming D-brane models on $T^6/(\mathbb{Z}_2 \times \mathbb{Z}_{2M})$ orbifolds

TL;DR

This paper reviews how complex structure moduli are stabilized in Type IIA orientifolds through deformations of orbifold singularities, highlighting differences between supersymmetric and non-supersymmetric D-brane configurations.

Contribution

It demonstrates moduli stabilization via orbifold deformations in specific string models, especially in non-supersymmetric U(N) gauge setups.

Findings

Most deformation moduli are stabilized at the orbifold point in certain models.

Supersymmetric D6-branes preserve flat directions, unlike some non-supersymmetric configurations.

Deformations can be used to control moduli stabilization in string compactifications.

Abstract

We review the stabilisation of complex structure moduli in Type IIA orientifolds, especially on $T^6 / (\mathbb{Z}_2 \times \mathbb{Z}_6^\prime \times \Omega \mathcal{R})$ with discrete torsion, via deformations of $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifold singularities. While D6-branes in SO(2N) and USp(2N) models always preserve supersymmetry and thus give rise to flat directions, in an exemplary Pati-Salam model with only U(N) gauge groups ten out of the 15 deformation moduli can be stabilised at the orbifold point.