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Title: Holographic non-Gaussianities in general single-field inflation

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [4]
  1. Chulalongkorn Univ., Bangkok (Thailand). Dept. of Physics, Faculty of Science
  2. Hong Kong Univ. of Science and Technology, Hong Kong (China). Dept. of Physics and Jockey Club Inst. for Advanced Study; Kobe Univ., Kobe (Japan). Dept. of Physics
  3. Hong Kong Univ. of Science and Technology, Hong Kong (China). Dept. of Physics and Jockey Club Inst. for Advanced Study; Univ. of Wisconsin-Madison, Madison, WI (United States). Dept. of Physics
  4. Hong Kong Univ. of Science and Technology, Hong Kong (China). Dept. of Physics and Jockey Club Inst. for Advanced Study

We use holographic techniques to compute inflationary non-Gaussianities for general single-field inflation, including models with a non-trivial sound speed. In this holographic approach, the inflationary dynamics is captured by a relevant deformation of the dual conformal field theory (CFT) in the UV, while the inflationary correlators are computed by conformal perturbation theory. In this paper, we discuss the effects of higher derivative operators, such as (∂ μ Φ∂ μ Φ)$^m$, which are known to induce a non-trivial sound speed and source potentially large non-Gaussianities. We compute the full inflationary bispectra from the deformed CFT correlators. We also discuss the squeezed limit of the bispectra from the viewpoint of operator product expansions. As is generic in the holographic description of inflation, our power spectrum is blue tilted in the UV region. We extend our bispectrum computation to the IR region by resumming the conformal perturbations to all orders. We provide a self-consistent setup which reproduces a red tilted power spectrum, as well as all possible bispectrum shapes in the slow-roll regime.

Research Organization:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-95ER40896
OSTI ID:
1533259
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

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Cited By (13)

Momentum space conformal three-point functions of conserved currents and a general spinning operator journal May 2019
Momentum space approach to crossing symmetric CFT correlators journal July 2018
Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach journal September 2019
Renormalised 3-point functions of stress tensors and conserved currents in CFT journal November 2018
Renormalised CFT 3-point functions of scalars, currents and stress tensors journal November 2018
Conformal correlators and blocks with spinors in general dimensions journal September 2017
Renormalised 3-point functions of stress tensors and conserved currents in CFT text January 2017
Renormalised CFT 3-point functions of scalars, currents and stress tensors text January 2018
Double copy structure of CFT correlators text January 2018
Momentum space conformal three-point functions of conserved currents and a general spinning operator text January 2019
Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach text January 2019
Trans-Planckian censorship conjecture in holographic cosmology journal March 2020
On the TransPlanckian Censorship Conjecture in Holographic Cosmology text January 2019

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