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

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Abstract

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.

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  1. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

    Paul McFadden

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ArXiv ePrint: 1308.0331

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McFadden, P. On the power spectrum of inflationary cosmologies dual to a deformed CFT. J. High Energ. Phys. 2013, 71 (2013). https://doi.org/10.1007/JHEP10(2013)071

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