Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
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Turiaci, and Zhenbin Yang.Two dimensional Nearly de Sitter gravity
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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.
Pairs of large-N 1D CFTs encode generalized free fields on a timelike geodesic in de Sitter space via large-N factorization, 1D conformal symmetry, and split representations of dS Green functions.
The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
Path-integral measures determine operator orderings for the Wheeler-DeWitt equation in flat minisuperspace models, with all consistent choices yielding identical physical observables via field redefinition Jacobians.
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.
Introduces cap amplitude ψ(b) in one-matrix models and interprets the dilaton equation for discrete volumes N_{g,n} as boundary gluing that reduces n by one.
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
The boundary theory of near-extremal RN black holes shows a replica phase transition controlled by temperature and the couplings C, K, and E.
Adopting the Bousso-Hawking observer normalization for RNdS black holes produces finite heat capacity near the Nariai limit while confirming vanishing capacity in cold and ultracold limits, limiting statistical descriptions.
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The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.