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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Higher Spin Realization of the dS/CFT Correspondence
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abstract
We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike infinity. The CFT is the Euclidean Sp(N) vector model with anticommuting scalars. The free CFT flows under a double-trace deformation to an interacting CFT in the IR. We argue that both CFTs are dual to Vasiliev dS gravity but with different future boundary conditions on the bulk scalar field. Our analysis rests heavily on analytic continuations of bulk and boundary correlators in the proposed duality relating the O(N) model with Vasiliev gravity in AdS.
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Cubic vertices of arbitrary-spin massless fields in lightcone gauge are expressed as direct generalizations of abelian vertices built from linearized curvatures, yielding consistency of self-dual theories in (A)dS with no higher vertices needed.
Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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.
The pseudo-hermitian scalar model exhibits a line of non-unitary 4D fixed points, massless flows between them, and cyclic RG flows, supported by three-loop beta functions and an all-order conjecture.
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.
The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
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.
Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
Thermal backreaction modifies de Sitter geometry so that late-exiting modes produce a blue-tilted spectrum n_S ~ 2 while the boundary theory matches the 3d Sp(N) model flow.
In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.
From the de Sitter partition function in various approximations, the volume probability distribution concentrates around the classical value but shifts to favor smaller universes as quantum effects increase.
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
citing papers explorer
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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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Non-perturbative renormalization group for pseudo-hermitian scalar fields in 4D
The pseudo-hermitian scalar model exhibits a line of non-unitary 4D fixed points, massless flows between them, and cyclic RG flows, supported by three-loop beta functions and an all-order conjecture.
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No boundary density matrix in elliptic de Sitter dS/$\mathbb{Z}_2$
The Euclidean path integral on elliptic de Sitter defines a no-boundary density matrix whose entropies reduce to vertex operator correlators on non-orientable surfaces, with a one-dimensional global Hilbert space but nontrivial observer Fock spaces.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
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Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
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.