Abstract
We examine bounds on accelerated expansion in asymptotic regions of the moduli space in string theory compactifications to four spacetime dimensions. While there are conjectures that forbid or constrain accelerated expansion in such asymptotic regions, potential counter examples have been discussed recently in the literature. We check whether such counter examples can arise in explicit string theory constructions, focusing in particular on non-geometric compactifications of type IIB string theory that have no Kähler moduli. We find no violation of the Strong Asymptotic dS Conjecture and thus provide support for the absence of accelerated expansion in asymptotic regions of a barely explored corner of the string landscape. Moreover, working in a simplified setting, we point out a new mechanism for potentially connecting the Sharpened Distance Conjecture and the Strong Asymptotic dS Conjecture. If this argument could be generalized, it would mean that the Sharpened Distance Conjecture is implied by the Strong Asymptotic dS Conjecture, and that their exponential factors are naturally related by a factor of 2.
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Acknowledgments
We like to thank David Andriot, Ben Heidenreich, Tom Rudelius, Flavio Tonioni and Irene Valenzuela for useful discussions. The work of S.C. and Y.T. is supported in part by the NSF grant PHY-2210271. The work of E.G., M.R. and T.W. is supported in part by the NSF grant PHY-2013988. M.R. acknowledges the support of the Dr. Hyo Sang Lee Graduate Fellowship from the College of Arts and Sciences at Lehigh University. S.C. would like to thank the Harvard University Department of Physics and the Kavli Institute for Theoretical Physics for hospitality and support throughout part of this work. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958. T.W. would like to thank the LAPTh — CNRS for hospitality during the completion of this work. His visit was made possible thanks to the AAP USMB dSCordes (2023).
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Cremonini, S., Gonzalo, E., Rajaguru, M. et al. On asymptotic dark energy in string theory. J. High Energ. Phys. 2023, 75 (2023). https://doi.org/10.1007/JHEP09(2023)075
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DOI: https://doi.org/10.1007/JHEP09(2023)075