2015/03/31 by Diederik Roest, Marco Scalisi · 112 citations
Mathematics · Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Exponential function #Galaxies: Formation, Evolution, Phenomena #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scale (ratio) #Spectral index #Spectral line #Supergravity #Supersymmetry #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.92.043525
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 92(4) (American Physical Society) · 6 pages, 3 figures. v3: minor clarifications and refs added. PRD version
openalex publication_date 2015/08/28 · arxiv created 2015/09/16 · arxiv updated 2015/09/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Planck value of the spectral index can be interpreted as ns=1\ensuremath-2/N in terms of the number of e-foldings N. An appealing explanation for this phenomenological observation is provided by \ensuremathα-attractors: the inflationary predictions of these supergravity models are fully determined by the curvature of the K"ahler manifold. We provide a novel formulation of \ensuremathα-attractors which only involves a single chiral superfield. Our construction involves a natural deformation of no-scale models and employs these to construct a de Sitter plateau with an exponential falloff. Finally, we show how analogous structures with a flat K"ahler geometry arise as a singular limit of such \ensuremathα-scale models.