Universality of multi-field $\alpha$-attractors
  We study a particular version of the theory of cosmological
$\alpha$-attractors with $\alpha=1/3$, in which both the dilaton (inflaton)
field and the axion field are light during inflation. The kinetic terms in this
theory originate from maximal $\mathcal{N}=4$ superconformal symmetry and from
maximal $\mathcal{N}=8$ supergravity. We show that because of the underlying
hyperbolic geometry of the moduli space in this theory, it exhibits double
attractor behavior: their cosmological predictions are stable not only with
respect to significant modifications of the dilaton potential, but also with
respect to significant modifications of the axion potential: $n_s\simeq
1-{2\over N}$, $r\simeq {4\over N^2}$. We also show that the universality of
predictions extends to other values of $\alpha \lesssim {\cal O}(1)$ with
general two-field potentials that may or may not have an embedding in
supergravity. Our results support the idea that inflation involving multiple,
not stabilized, light fields on a hyperbolic manifold may be compatible with
current observational constraints for a broad class of potentials.
