Two-field cosmological models and the uniformization theorem

Abstract

We propose a class of two-field cosmological models derived from gravity coupled to non-linear sigma models whose target space is a non-compact and geometrically-finite hyperbolic surface, which provide a wide generalization of so-called $\alpha$-attractor models and can be studied using uniformization theory. We illustrate cosmological dynamics in such models for the case of the hyperbolic triply-punctured sphere.

9 pages, 4 figures, proceedings paper for the 10-th International Symposium "Quantum Theory and Symmetries" (QTS10)

References in corpus (4)

• The Unity of Cosmological Attractors
• Escher in the Sky
• Numerical evaluation of the bispectrum in multiple field inflation
• Testing Two-Field Inflation

Cited by in corpus (2)

• Two-field Cosmological $\alpha$-attractors with Noether Symmetry
• Hidden symmetries of two-field cosmological models