Abstract
In this note we construct large ensembles of supersymmetry breaking solutions arising in the context of flux compactifications of type IIB string theory. This class of solutions was previously proposed in [1] for which we provide the first explicit examples in Calabi-Yau orientifold compactifications with discrete fluxes below their respective tadpole constraint. As a proof of concept, we study the degree 18 hypersurface in weighted projective space \( \mathbbm{CP} \)1,1,1,6,9. Furthermore, we look at 10 additional orientifolds with h1,2 = 2, 3. We find several flux vacua with hierarchical suppression of the vacuum energy with respect to the gravitino mass. These solutions provide a crucial stepping stone for the construction of explicit de Sitter vacua in string theory. Lastly, we also report the difference in the distribution of W0 between supersymmetric and non-supersymmetric minima.
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Acknowledgments
We would like to thank Michele Cicoli and Pellegrino Piantadosi for discussions and collaborations on related topics. We are furthermore grateful to Liam McAllister and Alexander Westphal for fruitful discussions. We especially thank Andres Rios-Tascon for providing the code to compute GV and GW invariants. AS thanks the Ludwig Maximilian University of Munich and ICISE in Quy Nhon, Vietnam, for hospitality where parts of this work have been completed. The research of AS is supported by NSF grant PHY-2014071.
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Krippendorf, S., Schachner, A. New non-supersymmetric flux vacua in string theory. J. High Energ. Phys. 2023, 145 (2023). https://doi.org/10.1007/JHEP12(2023)145
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DOI: https://doi.org/10.1007/JHEP12(2023)145