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.