Winding Uplifts and the Challenges of Weak and Strong SUSY Breaking in AdS

TL;DR

This paper explores the challenges of metastable SUSY breaking in AdS spaces, proposing a new SUSY breaking mechanism via multi-cosine axion potentials in string theory, with implications for the non-SUSY AdS conjecture.

Contribution

It introduces a novel SUSY breaking approach using multi-cosine axion potentials from complex-structure axions in Calabi-Yau compactifications, addressing issues in AdS and LVS vacua.

Findings

Proposes a new SUSY breaking mechanism with multi-cosine axion potentials.

Analyzes challenges in uplifting LVS vacua and KKLT scenarios.

Considers potential violations of the non-SUSY AdS conjecture in type-IIA models.

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.