Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2013/03/005
Keywords
inflation; string theory and cosmology; non-gaussianity; physics of the early universe
Funding
- VIDI Innovative Research Incentive Grant from the Netherlands Organisation for Scientific Research (NWO)
- Dutch Foundation for Fundamental Research on Matter (FOM)
- DOE [DE-FG-02-95ER40896]
- Department of Physics of the University of Wisconsin
- Lorentz Center
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We investigate the symmetry constraints on the bispectrum, i.e. the three-point correlation function of primordial density fluctuations, in slow-roll inflation. It follows from the defining property of slow-roll inflation that primordial correlation functions inherit most of their structure from weakly broken de Sitter symmetries. Using holographic techniques borrowed from the AdS/CFT correspondence, the symmetry constraints on the bispectrum can be mapped to a set of stress-tensor Ward identities in a weakly broken 2+1-dimensional Euclidean CFT. We construct the consistency condition from these Ward identities using conformal perturbation theory. This requires a second order Ward identity and the use of the evolution equation. Our result also illustrates a subtle difference between conformal perturbation theory and the slow-roll expansion.
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