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.
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The no-boundary wavefunction on the 3-torus, summed over SL(3,Z) geometries using GL(3) automorphic forms, favors large inflating universes with N ≳ 250 e-folds and induces torus-moduli corrections to the CMB spectrum.
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.
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
The paper identifies a variety of Euclidean saddle solutions including wormholes and oscillatory configurations in Einstein-Scalar-Maxwell models, demonstrates how oscillations are controlled by lifting flat potential directions, finds phase transitions, and shows analytic continuation to FLRW cosm
Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.
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
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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.
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Inflation and topology from the no-boundary state
The no-boundary wavefunction on the 3-torus, summed over SL(3,Z) geometries using GL(3) automorphic forms, favors large inflating universes with N ≳ 250 e-folds and induces torus-moduli corrections to the CMB spectrum.
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M\"obius randomness in the Hartle-Hawking state
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.
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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
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A Menagerie of Wormholes and Cosmologies in the Gravitational Path Integral
The paper identifies a variety of Euclidean saddle solutions including wormholes and oscillatory configurations in Einstein-Scalar-Maxwell models, demonstrates how oscillations are controlled by lifting flat potential directions, finds phase transitions, and shows analytic continuation to FLRW cosm
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Quantum Liouville Cosmology
Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.
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Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW
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.
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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.