Sourcing Dark Matter and Dark Energy from $\alpha$-attractors
  Recently, Kallosh and Linde have drawn attention to a new family of
superconformal inflationary potentials, subsequently called
$\alpha$-attractors. The $\alpha$-attractor family can interpolate between a
large class of inflationary models. It also has an important theoretical
underpinning within the framework of supergravity. We demonstrate that the
$\alpha$-attractors have an even wider appeal since they may describe dark
matter and perhaps even dark energy. The dark matter associated with the
$\alpha$-attractors, which we call $\alpha$-dark matter ($\alpha$DM), shares
many of the attractive features of fuzzy dark matter, with $V(\varphi) =
\frac{1}{2}m^2\varphi^2$, while having none of its drawbacks. Like fuzzy dark
matter, $\alpha$DM can have a large Jeans length which could resolve the
cusp-core and substructure problems faced by standard cold dark matter.
$\alpha$DM also has an appealing tracker property which enables it to converge
to the late-time dark matter asymptote, $\langle w\rangle \simeq 0$, from a
wide range of initial conditions. It thus avoids the enormous fine-tuning
problems faced by the $m^2\varphi^2$ potential in describing dark matter.
