Duality invariance of cosmological perturbation spectra

I show that cosmological perturbation spectra produced from quantum fluctuations in massless or self-interacting scalar fields during an inflationary era remain invariant under a two parameter family of transformations of the homogeneous background fields. This relates slow-roll inflation models to solutions which may be far from the usual slow-roll limit. For example, a scale-invariant spectrum of perturbations in a minimally coupled, massless field can be produced by an exponential expansion with

a\propto e^{Ht}

, or by a collapsing universe with

a\propto (-t)^{2/3}

.

inflation
spectrum: perturbation
duality: invariance
field theory: scalar
massless
fluctuation
background field
scaling: invariance
coupling: minimal

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