Moduli stabilization in type IIB flux compactifications

In the present paper, we reexamine the moduli stabilization problem of Type IIB orientifolds with one complex structure modulus in a modified two-step procedure. The full superpotential including both the 3-form flux contributions and the nonperturbative corrections is used throughout the stabilization procedure. The F-term potential is simplified by using one optimization condition to integrate out the dilaton field in the first stage. By analyzing the Hessian determinants we establish some criterion inequalities with which one can easily judge whether a Type IIB orientifold with one complex structure modulus could have a metastable deSitter vacuum without the inclusion of the uplifting energies.