Conformal inflation with chameleon coupling
  We investigate the possibility that the inflaton, in particular in conformal
inflation models, is also a chameleon, i.e. that it couples to the energy
density of some heavy non-relativistic matter present during inflation. We find
new and interesting attractor behaviours, either prolonging inflation, or
changing the observables $n_s,r$, depending on the sign of the chameleon
coupling exponent. We also check that the chameleon coupling with the heavy
matter field strongly suppress entropy modes during inflation.
