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• W3136345582 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 ${cal O} (1)$ 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 $c sim {cal O} (10^{-1})$ and $c' sim {cal O} (10^{-2})$ can accommodate the 95% CL upper limit on $r$. By imposing at least 50 $e$-folds of inflation with the effective field theory description only valid over a field displacement ${cal O} (1)$ when measured as a distance in the target space geometry, we further restrict $c sim {cal O} (10^{-2})$, while the constraint on $c'$ remains unchanged. We comment on how to accommodate the required small values of $c$ and $c'$." @default.
• W3136345582 created "2021-03-29" @default.
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• W3136345582 date "2021-06-22" @default.
• W3136345582 modified "2023-10-18" @default.
• W3136345582 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi></mml:math> -dual inflation and the string swampland" @default.
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• W3136345582 doi "https://doi.org/10.1103/physrevd.103.123537" @default.
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