Perturbative Stability along the Supersymmetric Directions of the Landscape

We consider the perturbative stability of de Sitter configurations in N = 1 supergravity models with a large spectator sector not involved in supersymmetry breaking. We describe the couplings of the spectator fields by a random ensemble of generic supergravity theories, and we perform the analysis using tools from Random Matrix Theory. We show that, in theories consistent with the supersymmetric truncation of the spectator fields, the fraction of meta-stable vacua grows exponentially with respect to supergravity models with generic couplings. We discuss the implications of our results for KKLT scenarios and Large Volume Compactifications of Type-IIB superstrings.