Constraints on K\"ahler moduli inflation from reheating
  We present predictions of the K\"ahler moduli inflation model for the
spectral tilt by parametrising the reheating epoch by an effective
equation-of-state parameter and the number of e-foldings of reheating; and
taking into account the post-inflationary history of the model. This model has
an epoch in which the energy density of the universe is dominated by cold
moduli particles. We compare our results with data from the PLANCK mission and
find that exotic reheating (with effective equation of state $w_{\rm re}$
greater than 1/3) is required to match the observations. For canonical
reheating case with $w_{\rm re} = 0$, we deduce $\text{log}_{10}(T_{\rm
re}/10^3~ \text{GeV}) \simeq 1190 (n_s - 0.956)$. We also analyse our results
in the context of observations being planned for the future and their projected
sensitivities.
