Author:

Keywords:

Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, inflation, initial conditions and eternal universe, cosmological perturbation theory, quantum cosmology, COSMOLOGICAL PERTURBATIONS, UNIVERSE, ORIGIN, hep-th, astro-ph.CO, gr-qc, 0201 Astronomical and Space Sciences, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, Nuclear & Particles Physics, 5101 Astronomical sciences, 5107 Particle and high energy physics

Abstract:

© 2016, Institute of Physics. All rights reserved. One proposal for dS/CFT is that the Hartle-Hawking (HH) wave function in the large volume limit is equal to the partition function of a Euclidean CFT deformed by various operators. All saddle points defining the semiclassical HH wave function in cosmology have a representation in which their interior geometry is part of a Euclidean AdS domain wall with complex matter fields. We compute the wave functions of scalar and tensor perturbations around homogeneous isotropic complex saddle points, turning on single scalar field matter only. We compare their predictions for the spectra of CMB perturbations with those of a different dS/CFT proposal based on the analytic continuation of inflationary universes to real asymptotically AdS domain walls. We find the predictions of both bulk calculations agree to first order in the slow roll parameters, but there is a difference at higher order which, we argue, is a signature of the HH state of the fluctuations.