2014/12/31 by Mario Galante, Renata Kallosh, Рената Каллош +2 · 409 citations
Mathematics · Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Eternal inflation #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Inflaton #Kinetic term #Mathematical analysis #Mathematical physics #Mathematics #Physics #Scalar field #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.114.141302
published in Physical Review Letters 114(14), 141302 (American Physical Society) · 6 pages 1 figure, Refs + minor clarifications added
arxiv created 2015/02/02 · openalex publication_date 2015/04/08 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, several broad classes of inflationary models have been discovered whose cosmological predictions, in excellent agreement with Planck, are stable with respect to significant modifications of the inflaton potential. Some classes of models are based on a nonminimal coupling to gravity. These models, which we call ξ attractors, describe universal cosmological attractors (including Higgs inflation) and induced inflation models. Another class describes conformal attractors (including Starobinsky inflation and T models) and their generalization to α attractors. The aim of this Letter is to elucidate the common denominator of these attractors: their robust predictions stem from a joint pole of order 2 in the kinetic term of the inflaton field in the Einstein frame formulation prior to switching to the canonical variables. Model-dependent differences only arise at subleading level in the kinetic term. As a final step towards the unification of the different attractors, we introduce a special class of ξ attractors which is fully equivalent to α attractors with the identification α=1+(1/6ξ). While r is generically predicted to be of the order 1/N2, there is no theoretical lower bound on r in this class of models.