Volume Stabilization via $\alpha^\prime$ Corrections in Type IIB Theory with Fluxes

TL;DR

This paper shows how $ ext{α'}^3$ string corrections and brane-antibrane pairs can stabilize the volume modulus in Type IIB string theory compactifications on warped Calabi-Yau threefolds, leading to non-supersymmetric AdS/dS vacua.

Contribution

It introduces a perturbative stabilization mechanism for the volume modulus using stringy corrections and brane-antibrane effects in a warped Calabi-Yau setting.

Findings

Volume modulus stabilized perturbatively in non-supersymmetric vacua

Inclusion of $ ext{α'}^3$ corrections is crucial for stabilization

Positive and negative tension branes balance to achieve stability

Abstract

We consider the Type IIB string theory in the presence of various extra $7/\bar 7$-brane pairs compactified on a warped Calabi-Yau threefold that admits a conifold singularity. We demonstrate that the volume modulus can be stabilized perturbatively at a non-supersymmetric $AdS_4/dS_4$ vacuum by the effective potential that includes the stringy $(\alpha^\prime)^3$ correction obtained by Becker {\it et al.} together with a combination of positive tension and anomalous negative tension terms generated by the additional 7-brane-antibrane pairs.