Abstract
We explore a notion of distance between vacua of a discrete landscape that takes into account scalar potentials and fluxes via transitions mediated by domain walls. Such settings commonly arise in supergravity and string compactifications with stabilized moduli. We derive general bounds and simple estimates in supergravity which constrain deviations from the ordinary swampland distance conjecture based on moduli space geodesics, and we connect this picture to renormalization group flows via holography.
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Acknowledgments
We thank Niccolò Cribiori, Stefano Lanza, Yixuan Li, Dieter Lüst, Miguel Montero, Marco Scalisi, Irene Valenzuela, Vincent Van Hemelryck, Nicolò Petri, Thomas Van Riet and Flavio Tonioni for insightful discussions. We also thank Fotis Farakos, Vincent Van Hemelryck, Luca Martucci, Thomas Van Riet and Nicolò Risso for their feedback on the manuscript, and José Calderón-Infante for collaboration in the initial stages of this project.
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Basile, I., Montella, C. Domain walls and distances in discrete landscapes. J. High Energ. Phys. 2024, 227 (2024). https://doi.org/10.1007/JHEP02(2024)227
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DOI: https://doi.org/10.1007/JHEP02(2024)227