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Constant-rate inflation: primordial black holes from conformal weight transitions

Authors
  • Ng, Kin-Wang1, 1
  • Wu, Yi-Peng2
  • 1 Academia Sinica, Taipei, 11529, Taiwan , Taipei (Taiwan)
  • 2 Laboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589 CNRS & Sorbonne Université, 4 Place Jussieu, Paris, F-75252, France , Paris (France)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Nov 11, 2021
Volume
2021
Issue
11
Identifiers
DOI: 10.1007/JHEP11(2021)076
Source
Springer Nature
Keywords
Disciplines
  • Regular Article - Theoretical Physics
License
Green

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.

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