Natural $\alpha$-Attractors from $\mathcal{N}=1$ Supergravity via flat Kähler Manifolds

Abstract

We present $\alpha$-attractor models for inflation based on $\mathcal{N}=1$ supergravity with flat Kähler manifolds. The function form of the associated Kähler potential in these models are logarithmic square in nature and has a visible shift symmetry in its composite canonical variables. The scalar potential $V$ with respect to these field variables has an infinitely long dS valley of constant depth and width at large values of inflaton field $\psi$ and attains a Minkowski minimum at small $\psi$. We illustrate this new framework with a couple of examples.

9 pages, 5 figures