Inflation from Nilpotent K\"ahler Corrections
  We develop a new class of supergravity cosmological models where inflation is
induced by terms in the K\"ahler potential which mix a nilpotent superfield $S$
with a chiral sector $\Phi$. As the new terms are non-(anti)holomorphic, and
hence cannot be removed by a K\"ahler transformation, these models are
intrinsically K\"ahler potential driven. Such terms could arise for example due
to a backreaction of an anti-D3 brane on the string theory bulk geometry. We
show that this mechanism is very general and allows for a unified description
of inflation and dark energy, with controllable SUSY breaking at the vacuum.
When the internal geometry of the bulk field is hyperbolic, we prove that small
perturbative K\"ahler corrections naturally lead to $\alpha$-attractor
behaviour, with inflationary predictions in excellent agreement with the latest
Planck data
