Moduli Backreaction on Inflationary Attractors
  We investigate the interplay between moduli dynamics and inflation, focusing
on the KKLT-scenario and cosmological $\alpha$-attractors. General couplings
between these sectors can induce a significant backreaction and potentially
destroy the inflationary regime; however, we demonstrate that this generically
does not happen for $\alpha$-attractors. Depending on the details of the
superpotential, the volume modulus can either be stable during the entire
inflationary trajectory, or become tachyonic at some point and act as a
waterfall field, resulting in a sudden end of inflation. In the latter case
there is a universal supersymmetric minimum where the scalars end up,
preventing the decompactification scenario. The gravitino mass is independent
from the inflationary scale with no fine-tuning of the parameters. The
observational predictions conform to the universal value of attractors, fully
compatible with the Planck data, with possibly a capped number of e-folds due
to the interplay with moduli.
