Generalized Pole Inflation: Hilltop, Natural, and Chaotic Inflationary Attractors

Abstract

A reformulation of inflationary model analyses appeared recently, in which inflationary observables are determined by the structure of a pole in the inflaton kinetic term rather than the shape of the inflaton potential. We comprehensively study this framework with an arbitrary order of the pole taking into account possible additional poles in the kinetic term or in the potential. Depending on the setup, the canonical potential becomes the form of hilltop or plateau models, variants of natural inflation, power-law inflation, or monomial/polynomial chaotic inflation. We demonstrate attractor behaviors of these models and compute corrections from the additional poles to the inflationary observables.

22 pages, 5 figures; v3 published version (minor revision) + additional materials (Figures 1, 4 and Table 1). A one-minute introductory movie is available at https://youtu.be/pLod18Z0EVs

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• Hybrid cosmological attractors
• Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
• CMB targets after the latest Planck data release
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• Scalar-tensor linear inflation
• Bouncing Universe from Nothing
• Hillclimbing inflation
• Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
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• Observational constraints on $\alpha$-attractor inflationary models with a Higgs-like potential
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