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Conformal Invariance, Dark Energy, and CMB Non-Gaussianity

We show that in addition to simple scale invariance, a universe dominated by dark energy naturally gives rise to correlation functions possessing full conformal invariance. This is due to the mathematical isomorphism between the conformal group of certain three dimensional slices of de Sitter space...

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Autores principales: Antoniadis, Ignatios, Mazur, Pawel O, Mottola, Emil
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: JCAP 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2012/09/024
http://cds.cern.ch/record/1337830
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author Antoniadis, Ignatios
Mazur, Pawel O
Mottola, Emil
author_facet Antoniadis, Ignatios
Mazur, Pawel O
Mottola, Emil
author_sort Antoniadis, Ignatios
collection CERN
description We show that in addition to simple scale invariance, a universe dominated by dark energy naturally gives rise to correlation functions possessing full conformal invariance. This is due to the mathematical isomorphism between the conformal group of certain three dimensional slices of de Sitter space and the de Sitter isometry group SO(4,1). In the standard homogeneous, isotropic cosmological model in which primordial density perturbations are generated during a long vacuum energy dominated de Sitter phase, the embedding of flat spatial R^3 sections in de Sitter space induces a conformal invariant perturbation spectrum and definite prediction for the shape of the non-Gaussian CMB bispectrum. In the case in which the density fluctuations are generated instead on the de Sitter horizon, conformal invariance of the S^2 horizon embedding implies a different but also quite definite prediction for the angular correlations of CMB non-Gaussianity on the sky. Each of these forms for the bispectrum is intrinsic to the symmetries of de Sitter space, and in that sense, independent of specific model assumptions. Each is different from the predictions of single field slow roll inflation models, which rely on the breaking of de Sitter invariance. Thus detection of non-Gaussian correlations in the CMB of one of these bispectral shape functions can both pinpoint the origins of primordial density fluctuations, and distinguish between different dyna mical models of cosmological vacuum dark energy
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spelling cern-13378302022-08-10T20:38:53Z doi:10.1088/1475-7516/2012/09/024 http://cds.cern.ch/record/1337830 eng Antoniadis, Ignatios Mazur, Pawel O Mottola, Emil Conformal Invariance, Dark Energy, and CMB Non-Gaussianity General Relativity and Cosmology We show that in addition to simple scale invariance, a universe dominated by dark energy naturally gives rise to correlation functions possessing full conformal invariance. This is due to the mathematical isomorphism between the conformal group of certain three dimensional slices of de Sitter space and the de Sitter isometry group SO(4,1). In the standard homogeneous, isotropic cosmological model in which primordial density perturbations are generated during a long vacuum energy dominated de Sitter phase, the embedding of flat spatial R^3 sections in de Sitter space induces a conformal invariant perturbation spectrum and definite prediction for the shape of the non-Gaussian CMB bispectrum. In the case in which the density fluctuations are generated instead on the de Sitter horizon, conformal invariance of the S^2 horizon embedding implies a different but also quite definite prediction for the angular correlations of CMB non-Gaussianity on the sky. Each of these forms for the bispectrum is intrinsic to the symmetries of de Sitter space, and in that sense, independent of specific model assumptions. Each is different from the predictions of single field slow roll inflation models, which rely on the breaking of de Sitter invariance. Thus detection of non-Gaussian correlations in the CMB of one of these bispectral shape functions can both pinpoint the origins of primordial density fluctuations, and distinguish between different dyna mical models of cosmological vacuum dark energy info:eu-repo/grantAgreement/EC/FP7/226371 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1337830 JCAP JCAP, (2012) pp. 024 2011-03-23
spellingShingle General Relativity and Cosmology
Antoniadis, Ignatios
Mazur, Pawel O
Mottola, Emil
Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title_full Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title_fullStr Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title_full_unstemmed Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title_short Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
title_sort conformal invariance, dark energy, and cmb non-gaussianity
topic General Relativity and Cosmology
url https://dx.doi.org/10.1088/1475-7516/2012/09/024
http://cds.cern.ch/record/1337830
http://cds.cern.ch/record/1337830
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AT mazurpawelo conformalinvariancedarkenergyandcmbnongaussianity
AT mottolaemil conformalinvariancedarkenergyandcmbnongaussianity