Stability of flux compactifications and the pattern of supersymmetry breaking

TL;DR

This paper generalizes the KKLT moduli stabilization program by explicitly incorporating the dilaton and complex structure moduli, and analyzes the existence of stable vacua and the pattern of supersymmetry breaking beyond the KKLT decoupling limit. By studying two-modulus models (S and T) in Type IIB and heterotic theories, as well as including complex structure moduli, the authors derive stability conditions for SUSY AdS vacua and assess the viability of uplifting to Minkowski/de Sitter space. They show that stable minima are not guaranteed in many scenarios and that the soft SUSY-breaking terms can differ markedly from KKLT predictions, depending on how all moduli are stabilized and uplifted. The work highlights a broader landscape of stabilization mechanisms and mediation patterns, underscoring the need for a beyond-KKLT framework for realistic phenomenology.

Abstract

We extend the KKLT approach to moduli stabilization by including the dilaton and the complex structure moduli into the effective supergravity theory. Decoupling of the dilaton is neither always possible nor necessary for the existence of stable minima with zero (or positive) cosmological constant. The pattern of supersymmetry breaking can be much richer than in the decoupling scenario of KKLT.