Abstract
We discuss the problem of metastable SUSY breaking in the landscape. While this is clearly crucial for the various de Sitter proposals, it is also interesting to consider the SUSY breaking challenge in the AdS context. For example, it could be that a stronger form of the non-SUSY AdS conjecture holds: it would forbid even metastable non-SUSY AdS in cases where the SUSY-breaking scale is parametrically above/below the AdS scale. At the technical level, the present paper proposes to break SUSY using the multi-cosine-shaped axion potentials which arise if a long winding trajectory of a ‘complex-structure axion’ appears in the large-complex-structure limit of a Calabi-Yau orientifold. This has been studied in the context of ‘Winding Inflation’, but the potential for SUSY breaking has not been fully explored. We discuss the application to uplifting LVS vacua, point out the challenges which one faces in the KKLT context, and consider the possibility of violating the non-SUSY AdS conjecture in the type-IIA setting of DGKT.
Highlights
We discuss the problem of metastable SUSY breaking in the landscape
While this is clearly crucial for the various de Sitter proposals, it is interesting to consider the SUSY breaking challenge in the AdS context
We discuss the application to uplifting LVS vacua, point out the challenges which one faces in the KKLT context, and consider the possibility of violating the non-SUSY AdS conjecture in the type-IIA setting of DGKT
Summary
Let us turn to the description of our technical work. We follow the original proposal by Saltman and Silverstein [3] to realize an uplift by finding metastable local minima in the complex-structure scalar potential. The leading corrections to the large-complex-structure expressions for Kähler and superpotential are of the form exp(iu) and exp(iv) Both terms depend on the unstabilized axion φ and their magnitude is governed by the stabilized values of the saxions: exp(iu) ∝ exp(−Im u0 − iN/M φ) and exp(iv) ∝ exp(−Im v0 + iφ). We expect there is in general enough tuning power in this setting to find low-lying local minima protected by parametrically high barriers While these uplifts are necessarily small, they may provide a way to turn DGKT solutions into stable non-SUSY AdS vacua.
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