High energy physics signatures from inflation and conformal symmetry of de Sitter
Abstract
During inflation, the geometry of spacetime is described by a (quasi)de Sitter phase. Inflationary observables are determined by the underlying (softly broken) de Sitter isometry group SO(1, 4) which acts like a conformal group on R^3: when the fluctuations are on superHubble scales, the correlators of the scalar fields are constrained by conformal invariance. Heavy fields with mass m larger than the Hubble rate H correspond to operators with imaginary dimensions in the dual Euclidean threedimensional conformal field theory. By making use of the dS/CFT correspondence we show that, besides the Boltzmann suppression expected from the thermal properties of de Sitter space, the generic effect of heavy fields in the inflationary correlators of the light fields is to introduce powerlaw suppressed corrections of the form O(H^2/m^2). This can be seen, for instance, at the level of the fourpoint correlator for which we provide the correction due to a massive scalar field exchange.
 Publication:

Fortschritte der Physik
 Pub Date:
 July 2015
 DOI:
 10.1002/prop.201500025
 arXiv:
 arXiv:1501.03515
 Bibcode:
 2015ForPh..63..531K
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 21 pages, 5 figures