Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
D. Seery, and J. Lidsey. (2006)cite arxiv:astro-ph/0604209
Comment: 23 pages, uses iopart.cls. Replaced with version accepted by JCAP;
some clarifications in the introduction, and references added.
Abstract
We use the dS/CFT correspondence and bulk gravity to predict the form of the
renormalized holographic three-point correlation function of the operator which
is dual to the inflaton field perturbation during single-field, slow-roll
inflation. Using Maldcaena's formulation of the correspondence, this correlator
can be related to the three-point function of the curvature perturbation
generated during single-field inflation, and we find exact agreement with
previous bulk QFT calculations. This provides a consistency check on existing
derivations of the non-Gaussianity from single-field inflation and also yields
insight into the nature of the dS/CFT correspondence. As a result of our
calculation, we obtain the properly renormalized dS/CFT one-point function,
including boundary contributions where derivative interactions are present in
the bulk. In principle, our method may be employed to derive the n-point
correlators of the inflationary curvature perturbation within the context of
(n-1)th-order perturbation theory, rather than nth-order theory as in
conventional approaches.
Description
Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
cite arxiv:astro-ph/0604209
Comment: 23 pages, uses iopart.cls. Replaced with version accepted by JCAP;
some clarifications in the introduction, and references added
%0 Journal Article
%1 Seery2006
%A Seery, David
%A Lidsey, James E.
%D 2006
%K holography non-gaussian
%T Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
%U http://arxiv.org/abs/astro-ph/0604209
%X We use the dS/CFT correspondence and bulk gravity to predict the form of the
renormalized holographic three-point correlation function of the operator which
is dual to the inflaton field perturbation during single-field, slow-roll
inflation. Using Maldcaena's formulation of the correspondence, this correlator
can be related to the three-point function of the curvature perturbation
generated during single-field inflation, and we find exact agreement with
previous bulk QFT calculations. This provides a consistency check on existing
derivations of the non-Gaussianity from single-field inflation and also yields
insight into the nature of the dS/CFT correspondence. As a result of our
calculation, we obtain the properly renormalized dS/CFT one-point function,
including boundary contributions where derivative interactions are present in
the bulk. In principle, our method may be employed to derive the n-point
correlators of the inflationary curvature perturbation within the context of
(n-1)th-order perturbation theory, rather than nth-order theory as in
conventional approaches.
@article{Seery2006,
abstract = { We use the dS/CFT correspondence and bulk gravity to predict the form of the
renormalized holographic three-point correlation function of the operator which
is dual to the inflaton field perturbation during single-field, slow-roll
inflation. Using Maldcaena's formulation of the correspondence, this correlator
can be related to the three-point function of the curvature perturbation
generated during single-field inflation, and we find exact agreement with
previous bulk QFT calculations. This provides a consistency check on existing
derivations of the non-Gaussianity from single-field inflation and also yields
insight into the nature of the dS/CFT correspondence. As a result of our
calculation, we obtain the properly renormalized dS/CFT one-point function,
including boundary contributions where derivative interactions are present in
the bulk. In principle, our method may be employed to derive the n-point
correlators of the inflationary curvature perturbation within the context of
(n-1)th-order perturbation theory, rather than nth-order theory as in
conventional approaches.
},
added-at = {2010-06-30T10:14:01.000+0200},
author = {Seery, David and Lidsey, James E.},
biburl = {https://www.bibsonomy.org/bibtex/2f98012a4b3a10860c83acf256bf0e60c/jpschaar},
description = {Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence},
interhash = {34fbc3aff2d7bf11e590ba6fa354c028},
intrahash = {f98012a4b3a10860c83acf256bf0e60c},
keywords = {holography non-gaussian},
note = {cite arxiv:astro-ph/0604209
Comment: 23 pages, uses iopart.cls. Replaced with version accepted by JCAP;
some clarifications in the introduction, and references added},
timestamp = {2010-06-30T10:14:01.000+0200},
title = {Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence},
url = {http://arxiv.org/abs/astro-ph/0604209},
year = 2006
}