4.3 Article

High energy physics signatures from inflation and conformal symmetry of de Sitter

Journal

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
Volume 63, Issue 7-8, Pages 531-542

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201500025

Keywords

cosmic inflation; de Sitter space

Funding

  1. European Social Fund (ESF)
  2. National Resources
  3. European Union under REA [329083]
  4. Swiss National Science Foundation (SNSF) [200021140236]

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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 super-Hubble 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 three-dimensional 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 power-law suppressed corrections of the form O(H-2/m(2)). This can be seen, for instance, at the level of the four-point correlator for which we provide the correction due to a massive scalar field exchange.

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