Holographic predictions for cosmological 3-point functions
Abstract
We present the holographic predictions for cosmological 3-point correlators, involving both scalar and tensor modes, for a universe which started in a non-geometric holographic phase. Holographic formulae relate the cosmological 3-point functions to stress tensor correlation functions of a holographically dual three-dimensional non-gravitational QFT. We compute these correlators at 1-loop order for a theory containing massless scalars, fermions and gauge fields, and present an extensive analysis of the constraints due to Ward identities showing that they uniquely determine the correlators up to a few constants. We define shapes for all cosmological bispectra and compare the holographic shapes to the slow-roll ones, finding that some are distinguishable while others, perhaps surprisingly, are not. In particular, for three gravitons, we are able to recover the slow-roll shapes exactly.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- March 2012
- DOI:
- 10.1007/JHEP03(2012)091
- arXiv:
- arXiv:1112.1967
- Bibcode:
- 2012JHEP...03..091B
- Keywords:
-
- Gauge-gravity correspondence;
- AdS-CFT Correspondence;
- Models of Quantum Gravity;
- Conformal and W Symmetry;
- High Energy Physics - Theory;
- Astrophysics - Cosmology and Extragalactic Astrophysics;
- General Relativity and Quantum Cosmology
- E-Print:
- 51pp