Bounds on slow roll and the de Sitter Swampland
By Sumit K. Garg, Chethan Krishnan. Journal of High Energy Physics, 2018
526 citations recorded by the source corpus.
The recently introduced swampland criterion for de Sitter [17] can be viewed as a (hierarchically large) bound on the smallness of the slow roll parameter 𝜖V. This leads us to consider the other slow roll parameter ηV more closely, and we are lead to conjecture that the bound is not necessarily on 𝜖V, but on slow roll itself. A natural refinement of the de Sitter swampland conjecture is therefore that slow roll is violated at O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(1) in Planck units in any UV complete theory. A corollary is that 𝜖V need not necesarily be O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(1), if ηV≲−O1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\eta}_V\lesssim -\mathcal{O}(1) $$\end{document} holds. We consider various tachyonic tree level constructions of de Sitter in IIA/IIB string theory (as well as closely related models of inflation), which superficially violate [17], and show that they are consistent with this refined version of the bound. The phrasing in terms of slow roll makes it plausible why both versions of the conjecture run into trouble when the number of e-folds during inflation is high. We speculate that one way to evade the bound could be to have a large number of fields, like in N -flation.
Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2eb55f3b6bc24e4484ddb13bc2683245790a2851
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Citations in the corpus
- de Sitter swampland conjecture and the Higgs potential (2018, result): “be interesting to explore this further. A natural question is whether the decoupled Higgs + quintessence model is consistent with recent speculations on modications of the conjecture. For example in [35,38] it was proposed to allow small or vanishing rst derivatives of the potential in regions where”
- The Swampland: Introduction and Review (2019, background): “Sitter and distance conjectures favour multi-eld in ation. Multi-eld scenarios, particularly with non-geodesic in aton motion, were further studied in the Swampland context in [165,170,574{579]. In [433] tension with a large number of e-folds in in ation was studied. The interaction of the de Sitter”
- New physics in light of the H0 tension: An alternative view (2019, unknown): “[274–278] for cosmological implica-”