25 Feb 2005 | V. Balasubramanian, P. Berglund, J. P. Conlon, F. Quevedo
The paper investigates the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. It demonstrates that under general conditions, the potential approaches zero from below at exponentially large volumes, leading to a non-supersymmetric AdS minimum. This minimum is tachyon-free and fixes all Kähler and complex structure moduli. The gravitino mass is independent of the flux discretuum, while the ratio of the string scale to the 4d Planck scale is hierarchically small but flux-dependent. The inclusion of \(\alpha'\) corrections plays a crucial role in the structure of the potential. The authors illustrate these findings through explicit computations for a specific Calabi-Yau manifold, the orientifold of \(\mathbb{P}_1^{1,1,1,6,9}\). They also discuss the implications of these results, including the realization of the large extra dimensions scenario and the universality of the gravitino mass across different Calabi-Yau manifolds.The paper investigates the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. It demonstrates that under general conditions, the potential approaches zero from below at exponentially large volumes, leading to a non-supersymmetric AdS minimum. This minimum is tachyon-free and fixes all Kähler and complex structure moduli. The gravitino mass is independent of the flux discretuum, while the ratio of the string scale to the 4d Planck scale is hierarchically small but flux-dependent. The inclusion of \(\alpha'\) corrections plays a crucial role in the structure of the potential. The authors illustrate these findings through explicit computations for a specific Calabi-Yau manifold, the orientifold of \(\mathbb{P}_1^{1,1,1,6,9}\). They also discuss the implications of these results, including the realization of the large extra dimensions scenario and the universality of the gravitino mass across different Calabi-Yau manifolds.