Holography for inflation using conformal perturbation theory.

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PIRSA Number:
12110078

Abstract

Holographic cosmology maps cosmological time evolution to
the inverse RG ﬂow of a dual three-dimensional QFT. In cases where this RG ﬂow
connects two closely separated ﬁxed points, QFT correlators may be calculated
perturbatively in terms of the conformal ﬁeld theory associated with one of the
ﬁxed points, even when the dual QFT is at strong  coupling.
Realising slow-roll inﬂation in these terms, we show how to derive
standard slow-roll inﬂationary power spectra and non-Gaussianities through
purely holographic calculations. The form of slow-roll inﬂationary correlators
is seen to be determined by the perturbative breaking of conformal symmetry
away from the ﬁxed point.