English

Consistency Relations for the Conformal Mechanism

High Energy Physics - Theory 2013-04-12 v2 Cosmology and Nongalactic Astrophysics

Abstract

We systematically derive the consistency relations associated to the non-linearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearly-realized de Sitter subalgebra. These identities relate (N+1)-point correlation functions with a soft external Goldstone to N-point functions. These relations have direct implications for the recently proposed conformal mechanism for generating density perturbations in the early universe. We study the observational consequences, in particular a novel one-loop contribution to the four-point function, relevant for the stochastic scale-dependent bias and CMB mu-distortion.

Keywords

Cite

@article{arxiv.1212.3329,
  title  = {Consistency Relations for the Conformal Mechanism},
  author = {Paolo Creminelli and Austin Joyce and Justin Khoury and Marko Simonović},
  journal= {arXiv preprint arXiv:1212.3329},
  year   = {2013}
}

Comments

34 pages, 3 figures. v2: minor changes, version appearing in JCAP

R2 v1 2026-06-21T22:54:15.890Z