F-term uplifting and the supersymmetric integration of heavy moduli

Understand

We study in detail the stability properties of the simplest F-term uplifting mechanism consistent with the integration of heavy moduli.

• This way of uplifting vacua guarantees that the interaction of the uplifting sector with the moduli sector is consistent with integrating out the heavy fields in a supersymmetric way.
• The interactions between light and heavy fields are characterized in terms of the Kahler invariant function, G = K + log |W|^2, which is required to be separable in the two sectors.
• We generalize earlier results that when the heavy fields are stabilized at a minimum of the Kahler function G before the uplifting (corresponding to stable AdS maxima of the potential), they remain in a perturbatively stable configuration for arbitrarily high values of the cosmological constant (or the Hubble parameter during inflation).