• Open Access

S-dual inflation and the string swampland

Luis A. Anchordoqui, Ignatios Antoniadis, Dieter Lüst, and Jorge F. Soriano
Phys. Rev. D 103, 123537 – Published 22 June 2021

Abstract

The swampland de Sitter conjecture in combination with upper limits on the tensor-to-scalar ratio r derived from observations of the cosmic microwave background endangers the paradigm of slow-roll single-field inflation. This conjecture constrains the first and the second derivatives of the inflationary potential in terms of two O(1) constants c and c. In view of these restrictions, we reexamine single-field inflationary potentials with S-duality symmetry, which ameliorate the unlikeliness problem of the initial condition. We compute r at next-to-leading order in slow-roll parameters for the most general form of S-dual potentials and confront model predictions to constraints imposed by the de Sitter conjecture. We find that cO(101) and cO(102) can accommodate the 95% C.L. upper limit on r. By imposing at least 50e-folds of inflation with the effective field theory description valid only over a field displacement O(1) when measured as a distance in the target space geometry, we further restrict cO(102), while the constraint on c remains unchanged. We comment on how to accommodate the required small values of c and c.

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  • Received 25 March 2021
  • Accepted 3 June 2021

DOI:https://doi.org/10.1103/PhysRevD.103.123537

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Luis A. Anchordoqui1,2,3, Ignatios Antoniadis4,5, Dieter Lüst6,7, and Jorge F. Soriano1,2

  • 1Department of Physics and Astronomy, Lehman College, City University of New York, New York 10468, USA
  • 2Department of Physics, Graduate Center, City University of New York, New York 10016, USA
  • 3Department of Astrophysics, American Museum of Natural History, New York 10024, USA
  • 4Laboratoire de Physique Théorique et Hautes Énergies—LPTHE Sorbonne Université, CNRS, 4 Place Jussieu, 75005 Paris, France
  • 5Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium
  • 6Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany
  • 7Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 München, Germany

Article Text

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Issue

Vol. 103, Iss. 12 — 15 June 2021

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