In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
Maldacena,Comments on the no boundary wavefunction and slow roll inflation
8 Pith papers cite this work. Polarity classification is still indexing.
8
Pith papers citing it
citation-role summary
background 4
citation-polarity summary
fields
hep-th 8roles
background 4polarities
background 4representative citing papers
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius average of CFT partition functions.
Switching to 3-torus topology and summing SL(3,Z) geometries via automorphic forms makes the no-boundary wavefunction favor large inflating universes with over 250 e-folds, plus CMB corrections from torus moduli.
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
citing papers explorer
-
A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen
In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
-
Inflation and topology from the no-boundary state
Switching to 3-torus topology and summing SL(3,Z) geometries via automorphic forms makes the no-boundary wavefunction favor large inflating universes with over 250 e-folds, plus CMB corrections from torus moduli.
-
The yes boundaries wavefunctions of the universe
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
-
IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
- A Menagerie of Wormholes and Cosmologies in the Gravitational Path Integral