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Holographic Non-Gaussianity

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arxiv 1011.0452 v2 pith:7FHLW3SP submitted 2010-11-01 hep-th astro-ph.COgr-qc

Paul McFadden , Kostas Skenderis This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords holographicbispectrumprimordialcosmologicaldualformulanon-gaussianityperturbations
verification ladder T0 review T1 audit T2 compute T3 formal
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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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological Correlators in Gauge Theory and Gravity from EAdS

    hep-th 2025-09 conditional novelty 6.0 of 10

    Gauge and gravitational late-time correlators in de Sitter are mapped to EAdS Witten diagrams, with new Mellin-space propagators and a treatment of even boundary dimensions.

  2. Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology

    hep-th 2026-07 conditional novelty 5.5 of 10

    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.

  3. Integrable models of inflation beyond slow-roll

    hep-th 2026-08 conditional novelty 4.0 of 10

    Integrable inflationary models built from a chosen Hubble function yield power spectra, spectral indices, and tensor-to-scalar ratios, computed beyond slow-roll, that match currently available CMB data.

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