Abstract
Finding string backgrounds with de Sitter spacetime, where all approximations and corrections are controlled, is an open problem. We revisit the search for de Sitter solutions in the classical regime for specific type IIB supergravity compactifications on group manifolds, an under-explored corner of the landscape that offers an interesting testing ground for swampland conjectures. While the supergravity de Sitter solutions we obtain numerically are ambiguous in terms of their classicality, we find an analytic scaling that makes four out of six compactification radii, as well as the overall volume, arbitrarily large. This potentially provides parametric control over corrections. If we could show that these solutions, or others to be found, are fully classical, they would constitute a counterexample to conjectures stating that asymptotic de Sitter solutions do not exist. We discuss this point in great detail.
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Acknowledgments
We warmly thank Luc Didier for useful exchanges and many attempts to find solutions using a genetic algorithm. We also thank Daniel Junghans, Georges Obied, George Tringas and Daniel Waldram for helpful exchanges during the completion of this work. The work of FR is supported by the NSF grants PHY-2210333, PHY-2019786 (The NSF AI Institute for Artificial Intelligence and Fundamental Interactions), and startup funding from Northeastern University.
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Andriot, D., Ruehle, F. On classical de Sitter solutions and parametric control. J. High Energ. Phys. 2024, 101 (2024). https://doi.org/10.1007/JHEP06(2024)101
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DOI: https://doi.org/10.1007/JHEP06(2024)101