https://doi.org/10.1140/epjp/s13360-024-05409-3
Regular Article
Hypergeometric potential inflation and swampland program in rescaled gravity with stringy corrections
Département de Physique, Équipe des Sciences de la matière et du rayonnement, ESMaR Faculté des Sciences, Université Mohammed V de Rabat, Rabat, Morocco
Received:
30
April
2024
Accepted:
28
June
2024
Published online:
14
July
2024
Motivated by string theory activities, we investigate inflationary models and the swampland criteria in the context of a stringy rescaled gravity. Inspired by differential equations associated with special functions, we develop an algorithm to derive new scalar potential functions with hypergeometric behaviors from string theory correction terms. Among others, we obtain a family of models indexed by a couple (m, n), where m and n are natural numbers constrained by hypergeometric behaviors and certain physical requirements. Using the falsification scenario, we confront the derived models with the Planck observational data for such a stringy rescaled gravity. Then, we approach the associated swampland conjectures. For certain models of phenomenological interest, we find that the swampland criteria are satisfied for small values of the slow-roll parameters in such a modified gravity.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
