String tension between de Sitter vacua and curvature corrections
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Higher-derivative corrections to cosmological effective actions in string theory are largely constrained by T-duality, but have been computed hitherto only to the first few orders in the string scale α′. The functional renormalization group, in conjunction with the strong constraints imposed by T-duality, allows us to derive cosmological effective actions to all orders in α′ while avoiding "truncations"of the theory space. We show that the resulting higher-derivative α′-corrections forbid the existence of de Sitter vacua, at least in regimes where string-loop corrections can be neglected. Our findings thus support the no-de Sitter swampland conjecture in the presence of all-order effects in α′.
| Original language | English |
|---|---|
| Article number | L121901 |
| Journal | Physical Review D |
| Volume | 104 |
| Issue number | 12 |
| ISSN | 2470-0010 |
| DOIs | |
| Publication status | Published - 15 Dec 2021 |
Bibliographical note
Funding Information:
The authors would like to thank A. Bonanno, A. Eichhorn, B. Knorr, A. Sagnotti, and F. Saueressig for discussions. A. P. acknowledges support by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities. The work of I. B. was supported by the Fonds de la Recherche Scientifique—FNRS under Grants No. F.4503.20 (“HighSpinSymm”) and No. T.0022.19 (“Fundamental issues in extended gravitational theories”).
Publisher Copyright:
© 2021 authors. Published by the American Physical Society.
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