Abstract
Abstract
The Bootstrap approach to calculating cosmological correlators relies on a well motivated
ansatz. It is typical in the literature to assume that correlators are rational functions as this
greatly increases our constraining power. However, this has only previously been demonstrated for
some specific theories. In this paper we find a set of assumptions which we prove are sufficient
to ensure that the wavefunction coefficients are rational. As a corollary of this we generalise
the manifestly local test to higher dimensions. This result greatly reduces the allowed space of
functions that wavefunction coefficients can take in both the Effective Field Theory of Inflation
and Pure Gravity models and is thus a key ingredient in the Cosmological Bootstrap program.
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