Escher in the Sky

We give a brief review of the history of inflationary theory and then concentrate on the recently discovered set of inflationary models called cosmological α -attractors. These models provide an excellent fit to the latest observational data. Their predictions ns≈1−2/N and r≈12α/N2 are very robust with respect to the modifications of the inflaton potential. An intriguing interpretation of α -attractors is based on a geometric moduli space with a boundary: a Poincaré disk model of a hyperbolic geometry with the radius 3α , beautifully represented by the Escher's picture Circle Limit IV. In such models, the amplitude of the gravitational waves is proportional to the square of the radius of the Poincaré disk.

Note:

11 pages, 12 figures, Introductory part is extended, references added

Inflation
Supergravity
Geometry
Supergravité
Géométrie
inflaton: potential
cosmological model
moduli space
Poincare

References(72)

Figures(11)

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