Après une brève revue de l'histoire de la théorie de l'inflation, cet article introduit une classe de modèles inflationaires récemment découverte : les << attracteurs de type α >>. Ces modèles offrent un très bon accord avec les données observationnelles. Leur prédiction sur l'indice spectral et le rapport tenseur–scalaire, et , est très robuste vis-à-vis d'une modification du potentiel de l'inflaton. Une interprétation surprenante de ces attracteurs α repose sur la géométrie des espaces de modules avec bord : celle d'un disque hyperbolique de Poincaré de rayon , merveilleusement représenté par le dessin Circle Limit IV d'Escher. Dans ces modèles, l'amplitude des ondes gravitationnelles est proportionnelle au carré du rayon du disque de Poincaré.
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 and 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 , 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.
@article{CRPHYS_2015__16_10_914_0, author = {Renata Kallosh and Andrei Linde}, title = {Escher in the {Sky}}, journal = {Comptes Rendus. Physique}, pages = {914--927}, publisher = {Elsevier}, volume = {16}, number = {10}, year = {2015}, doi = {10.1016/j.crhy.2015.07.004}, language = {en}, }
Renata Kallosh; Andrei Linde. Escher in the Sky. Comptes Rendus. Physique, Volume 16 (2015) no. 10, pp. 914-927. doi : 10.1016/j.crhy.2015.07.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2015.07.004/
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