Polynomial $\alpha$-attractors

Understand

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 $\varphi$ has a plateau, which is approached exponentially fast at large $\varphi$.
• We call them exponential $\alpha$-attractors.