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Holographic Non-Gaussianity
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Holographic Non-Gaussianity
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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_nl^eq=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.
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Cited by 1 Pith paper
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Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology
At 1-loop in holographic cosmology, f_NL^{ξÃÃ}=0 while the angle-averaged f_NL^{γÃÃ}=6, from a full ⟨TJJ⟩ computation including contact terms.
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