1308.0331 (Paul McFadden)

On the power spectrum of inflationary cosmologies dual to a deformed CFT    [PDF]

Paul McFadden

We analyse slow-roll inflationary cosmologies that are holographically dual to a three-dimensional conformal field theory deformed by a nearly marginal scalar operator. We show the cosmological power spectrum is inversely proportional to the spectral density associated with the 2-point function of the trace of the stress tensor in the deformed CFT. Computing this quantity using second-order conformal perturbation theory, we obtain a holographic power spectrum in exact agreement with the expected inflationary power spectrum to second order in slow roll.

View original: http://arxiv.org/abs/1308.0331