  We study inflationary models that produce a nearly scale-invariant power
spectrum while breaking scale invariance significantly in the bispectrum. Under
most circumstances, such models are finely-tuned, as radiative corrections
generically induce a larger signal in the power spectrum. However, when scale
invariance is broken collectively (i.e., it requires more than one coupling to
break the symmetry), these radiative corrections may be suppressed. We
illustrate the features and limitations of collective symmetry breaking in the
context of resonant non-gaussianity. We discuss two examples where oscillatory
features can arise predominantly in the bispectrum.
