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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A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
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.
Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
Two-loop 2- and 3-point functions of a massive 3d toy QFT with generalized conformal structure are log-finite in the deep IR, suggesting nonperturbative IR finiteness and, holographically, no cosmological singularity.
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.
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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.
A CFT's oriented-ball moduli space carries a dS metric; CFT operators are lifted onto it to define a purported finite dS QFT with Euclidean wavefunction and Minkowski double-time representations.
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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Replica wormholes and the black hole interior
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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Worldline Higher Spin Gravity
A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.
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Universal structure in the interactions of massless fields on the lightcone
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.
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Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity
Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
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dS$^4$ Metamorphosis
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.
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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.
-
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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CFT Dual for Timelike Geodesic in Lorentzian dS
Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.
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An observer's quantization of 3d de Sitter
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
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3d QFT IR divergences as UV divergences in 4d Holographic Cosmology
Two-loop 2- and 3-point functions of a massive 3d toy QFT with generalized conformal structure are log-finite in the deep IR, suggesting nonperturbative IR finiteness and, holographically, no cosmological singularity.
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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.
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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On bulk reconstruction in Lorentzian AdS and its flat space limit
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.
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The thermal backreaction of a scalar field in de Sitter spacetime. II. Spectrum enhancement and holography
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.
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Exact and Finite de Sitter QFT from CFT
A CFT's oriented-ball moduli space carries a dS metric; CFT operators are lifted onto it to define a purported finite dS QFT with Euclidean wavefunction and Minkowski double-time representations.
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Euclidean volume fluctuations in de Sitter quantum gravity
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.
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Dark energy from string theory: an introductory review
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
- Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography