Primordial fluctuations from complex AdS saddle points

Journal Article · Mon Feb 01 00:00:00 EST 2016 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2016/02/010· OSTI ID:22525032

Hertog, Thomas

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.

• OSTI ID: 22525032
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANTI DE SITTER SPACE
COMPARATIVE EVALUATIONS
CONFORMAL INVARIANCE
COSMOLOGY
DISTURBANCES
EUCLIDEAN SPACE
FIELD THEORIES
FLUCTUATIONS
INFLATIONARY UNIVERSE
PARTITION FUNCTIONS
RELICT RADIATION
SCALAR FIELDS
SCALARS
SEMICLASSICAL APPROXIMATION
TENSORS
WAVE FUNCTIONS