Planck 2018 and Brane Inflation Revisited
  We revisit phenomenological as well as string-theoretical aspects of D-brane
inflation cosmological models. Phenomenologically these models stand out on par
with $\alpha$-attractors, as models with Planck-compatible values of $n_s$,
moving down to the sweet spot in the data with decreasing value of $r$. On the
formal side we present a new supersymmetric version of these models in the
context of de Sitter supergravity with a nilpotent multiplet and volume modulus
stabilization. The geometry of the nilpotent multiplet is evaluated in the
framework of string theory.
