Holographic non-Gaussianity

We investigate the non-Gaussianity of primordial cosmological perturbations within our recently proposed holographic description of inflationary universes. We derive a holographic formula that determines the bispectrum of cosmological curvature perturbations in terms of correlation functions of a ho...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2011-05, Vol.2011 (5), p.013-13
Main Authors: McFadden, Paul, Skenderis, Kostas
Format: Article
Language:English
Subjects:
ASTROPHYSICS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
CORRELATION FUNCTIONS
COSMOLOGY
DISTURBANCES
INFLATIONARY UNIVERSE
QUANTUM FIELD THEORY
RENORMALIZATION
STRESSES
TENSORS
THREE-DIMENSIONAL CALCULATIONS
UNIVERSE
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Summary:We investigate the non-Gaussianity of primordial cosmological perturbations within our recently proposed holographic description of inflationary universes. We derive a holographic formula that determines the bispectrum of cosmological curvature perturbations in terms of correlation functions of a holographically dual three-dimensional non-gravitational quantum field theory (QFT). This allows us to compute the primordial bispectrum for a universe which started in a non-geometric holographic phase, using perturbative QFT calculations. Strikingly, for a class of models specified by a three-dimensional super-renormalisable QFT, the primordial bispectrum is of exactly the factorisable equilateral form with f{sub NL}{sup equil.} = 5/36, irrespective of the details of the dual QFT. A by-product of this investigation is a holographic formula for the three-point function of the trace of the stress-energy tensor along general holographic RG flows, which should have applications outside the remit of this work.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2011/05/013