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Polynomial α-attractors
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DOI：10.1088/1475-7516/2022/04/017.png)
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Abstract
En 中文
Inflationary alpha-attractor models can be naturally implemented in supergravity with hyperbolic geometry. They have stable predictions for observables, such as n(s) = 1 - 2/N-e, assuming that the potential in terms of the original geometric variables, as well as its derivatives, are not singular at the boundary of the hyperbolic disk, or half-plane. In these models, the potential in the canonically normalized inflaton field phi has a plateau, which is approached exponentially fast at large phi. We call them exponential alpha-attractors. We present a closely related class of models, where the potential is not singular, but its derivative is singular at the boundary. The resulting inflaton potential is also a plateau potential, but it approaches the plateau polynomially. We call them polynomial alpha-attractors. Predictions of these two families of attractors completely cover the sweet spot of the Planck/BICEP/Keck data. The exponential ones are on the left, the polynomial are on the right.
Keywords:
inflation
Inflation and CMBR theory
supersymmetry and cosmology
Journal
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5.9
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1.3W
Citations:
4.7W