Abstract
We study tadpole potentials of non-supersymmetric strings, resorting to a first-order formalism known in the literature as fake supersymmetry. We present a detailed analysis for vacua with only gravity and the dilaton, displaying the obstructions that forbid the simplest inclusion of form fluxes. Our focus is on codimension-one vacua, for which we propose a definition of energy that might be suitable for stability arguments. Our findings point to the central role of boundary conditions when supersymmetry is absent or broken.
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Acknowledgments
We are grateful to A. Tomasiello for comments and guidance in various parts of this work. We also thank I. Basile, M. Graña, A. Herráez, N. Kovensky, G. Pimentel and A. Sagnotti for stimulating discussions. We would also like to thank INFN-Milano Bicocca and IPhT-Saclay for the kind hospitality while this work was in progress. This work was supported in part by Scuola Normale, by INFN (IS GSS-Pi) and by the MIUR-PRIN contract 2017CC72MK_003.
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Raucci, S. Fake supersymmetry with tadpole potentials. J. High Energ. Phys. 2023, 78 (2023). https://doi.org/10.1007/JHEP07(2023)078
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DOI: https://doi.org/10.1007/JHEP07(2023)078