Constant-rate inflation: primordial black holes from conformal weight transitions
Abstract Constant-rate inflation, including ultra-slow-roll inflation as a special case, has been widely applied to the formation of primordial black holes with a significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive ana...
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2021
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oai:doaj.org-article:9a34b2f2ba4642b1a89dd615ea89ceeb2021-11-14T12:40:29ZConstant-rate inflation: primordial black holes from conformal weight transitions10.1007/JHEP11(2021)0761029-8479https://doaj.org/article/9a34b2f2ba4642b1a89dd615ea89ceeb2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)076https://doaj.org/toc/1029-8479Abstract Constant-rate inflation, including ultra-slow-roll inflation as a special case, has been widely applied to the formation of primordial black holes with a significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive analytic solutions for the curvature perturbations with respect to the late-time scaling dimensions (conformal weights) constrained by the dilatation symmetry of the de Sitter background and show that the continuity of conformal weights across different rolling phases is protected by the adiabatic condition of the inflaton perturbation. The temporal excitation of subleading states (with the next-to-lowest conformal weights), recorded as the “steepest growth” of the power spectrum, is triggered by the entropy production in the transition from the slow-roll to the constant-rate phases.Kin-Wang NgYi-Peng WuSpringerOpenarticleCosmology of Theories beyond the SMSpace-Time SymmetriesConformal Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-26 (2021) |
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Cosmology of Theories beyond the SM Space-Time Symmetries Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Cosmology of Theories beyond the SM Space-Time Symmetries Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Kin-Wang Ng Yi-Peng Wu Constant-rate inflation: primordial black holes from conformal weight transitions |
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Abstract Constant-rate inflation, including ultra-slow-roll inflation as a special case, has been widely applied to the formation of primordial black holes with a significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive analytic solutions for the curvature perturbations with respect to the late-time scaling dimensions (conformal weights) constrained by the dilatation symmetry of the de Sitter background and show that the continuity of conformal weights across different rolling phases is protected by the adiabatic condition of the inflaton perturbation. The temporal excitation of subleading states (with the next-to-lowest conformal weights), recorded as the “steepest growth” of the power spectrum, is triggered by the entropy production in the transition from the slow-roll to the constant-rate phases. |
format |
article |
author |
Kin-Wang Ng Yi-Peng Wu |
author_facet |
Kin-Wang Ng Yi-Peng Wu |
author_sort |
Kin-Wang Ng |
title |
Constant-rate inflation: primordial black holes from conformal weight transitions |
title_short |
Constant-rate inflation: primordial black holes from conformal weight transitions |
title_full |
Constant-rate inflation: primordial black holes from conformal weight transitions |
title_fullStr |
Constant-rate inflation: primordial black holes from conformal weight transitions |
title_full_unstemmed |
Constant-rate inflation: primordial black holes from conformal weight transitions |
title_sort |
constant-rate inflation: primordial black holes from conformal weight transitions |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/9a34b2f2ba4642b1a89dd615ea89ceeb |
work_keys_str_mv |
AT kinwangng constantrateinflationprimordialblackholesfromconformalweighttransitions AT yipengwu constantrateinflationprimordialblackholesfromconformalweighttransitions |
_version_ |
1718429120159809536 |