Catastrophic Inflation

Details Catastrophic Inflation Catastrophic Inflation

2011-06-11

arxiv.org/abs/1106.2266v2

Phys.Rev.D84:063524,2011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures; v2: general discussion reworked for clarity, minor terminology changes throughout. accepted to PRD

Scientific paper

10.1103/PhysRevD.84.063524

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.

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