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

We consider the Type IIB string theory in the presence of various extra $7\mathrm{/}\bar{7}$-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 $Ad{S}_4\mathrm{/}d{S}_4$ vacuum by the effective potential that includes the stringy $({\alpha }^{\mathrm{\prime }}{)}^3$ 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.