Catastrophic Inflation
arXiv:1106.2266 · doi:10.1103/PhysRevD.84.063524
Abstract
We study inflection point inflation using Singularity Theory, which relates degenerate critical points of functions to their local behavior. This approach illuminates universal features of small-field models and gives analytic control over parametrized families of scalar potentials near inflationary solutions. The behavior of the scalar potential is tied to the number of physical input parameters, which determines a set of universality classes. Within these classes, we obtain universal scaling relations for density perturbations and the scale of inflation. In specific models, we show that the scale of supersymmetry breaking also possesses scaling behavior. We illustrate this general structure with a specific example: the Racetrack Inflation model in type IIB string theory, with the inflaton being the real part of the Kahler modulus, and the input parameters being flux dependent quantities that appear in the 4D, N=1 superpotential.
20 pages, 6 figures; v2: general discussion reworked for clarity, minor terminology changes throughout. accepted to PRD
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Cited by in corpus (8)
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- Visible sector inflation and the right thermal history in light of Planck data
- Inflection Points and the Power Spectrum
- Attractors, Universality and Inflation
- The curvaton scenario in the MSSM and predictions for non-Gaussianity
- Constructing Flat Inflationary Potentials in Supersymmetry
- Clearing the Brush: The Last Stand of Solo Small Field Inflation
- Generically large nongaussianity in small multifield inflation