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We reconsider cosmological perturbation theory for multi-component scalars,enforcing covariance in field-space, and ensuring that phyical observations areindependent of field re-definitions. We use the formalism to clarify someissues in the literature, and use pseudo-supersymmetry to derive exactexpressions for terms of interest.

The covariance of multi-field perturbations, pseudo-susy and f_NL