Holography in the linearized quantum gravity regime and modular crossed product | Paper Citation Record

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Reference 1

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Reference 8

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This paper cites Proof of KMS nature of AdS vacuum in AdS-Rindler wedge 23 B.

Holography in the linearized quantum gravity regime and modular crossed product Proof of KMS nature of AdS vacuum in AdS-Rindler wedge 23 B

Reference 9

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Reference 10

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Holography in the linearized quantum gravity regime and modular crossed product anchored

Reference 12

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This paper cites mostly plus.

Holography in the linearized quantum gravity regime and modular crossed product mostly plus

Reference 13

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Reference 14

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Observation 9b378820-1ad4-4529-8c8d-05f61f3078d9 · outbound

This paper cites This ensures that the hypersurfaceH+ remain null at all orders inλ.

Holography in the linearized quantum gravity regime and modular crossed product This ensures that the hypersurfaceH+ remain null at all orders inλ

Reference 15

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Observation 3a9d7a17-2e59-40e8-9378-e909042d550e · outbound

This paper cites The classical phase space construction for linearized gravity onH+ proceeds in a similar way as outlined in [15] and we refer the reader to [15] and references therein for review.

Holography in the linearized quantum gravity regime and modular crossed product The classical phase space construction for linearized gravity onH+ proceeds in a similar way as outlined in [15] and we refer the reader to [15] and references therein for review

Reference 16

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Observation 8cf2fff6-97dd-40f9-b1f1-c544f0c985e6 · outbound

This paper cites Wald,General Relativity, Chicago Univ.

Holography in the linearized quantum gravity regime and modular crossed product Wald,General Relativity, Chicago Univ

Reference 17

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Observation 9cf9e183-15d8-4be3-b4c6-9832ef4d431c · outbound

This paper cites horizon boost Killing field inA(H+ A,ω 0) with β = 2π.

Holography in the linearized quantum gravity regime and modular crossed product horizon boost Killing field inA(H+ A,ω 0) with β = 2π

Reference 18

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Observation 4bd54d89-8882-4f5f-8667-68195972b5b5 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product momentum operator

Reference 19

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Observation 18889c44-a8cd-428b-beff-ebb6bf1ee8b0 · outbound

This paper cites We shall denote the boundary field byϕ, which can be any tensor field which is dual to the bulk theory of linearized quantum gravity.

Holography in the linearized quantum gravity regime and modular crossed product We shall denote the boundary field byϕ, which can be any tensor field which is dual to the bulk theory of linearized quantum gravity

Reference 20

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Observation 0518788e-94c2-4336-8264-9f69b33e84ee · outbound

This paper cites Now consider the bulk relative modular operator ∆ω|ω0 which gives the bulk relative entropyS(ω|ω0) =⟨ω| log ∆ω|ω0|ω⟩.

Holography in the linearized quantum gravity regime and modular crossed product Now consider the bulk relative modular operator ∆ω|ω0 which gives the bulk relative entropyS(ω|ω0) =⟨ω| log ∆ω|ω0|ω⟩

Reference 21

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Observation 6abff494-7b82-4109-a663-aeb578219561 · outbound

This paper cites An extremely important fact that we shall use is that the stateω0 when restricted toH+ A is KMS w.r.t.

Holography in the linearized quantum gravity regime and modular crossed product An extremely important fact that we shall use is that the stateω0 when restricted toH+ A is KMS w.r.t

Reference 22

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Observation b7146199-e3de-491b-850b-50f9bcacb513 · outbound

This paper cites classical-quantum state.

Holography in the linearized quantum gravity regime and modular crossed product classical-quantum state

Reference 23

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Observation 331966e6-4bfd-4368-b704-10aa634b2f04 · outbound

This paper cites We shall also point to some future directions of work that can be pursued along these lines.

Holography in the linearized quantum gravity regime and modular crossed product We shall also point to some future directions of work that can be pursued along these lines

Reference 24

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Observation aaa567d8-e061-4f43-a4df-6000ce7ef65c · outbound

This paper cites Groups having such a measure are called amenable.

Holography in the linearized quantum gravity regime and modular crossed product Groups having such a measure are called amenable

Reference 25

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Observation bc567b2c-50d7-4e32-a392-2ce167c8481d · outbound

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Holography in the linearized quantum gravity regime and modular crossed product clustered

Reference 26

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Observation ac1f4c4b-2f29-4ea0-9a13-29b3261acee3 · outbound

This paper cites Let us denote the invariant subspace ofH under U-actions to be: Inv(H,U ) :={|ψ⟩∈ H|U(g)|ψ⟩ =|ψ⟩∀g∈G}, (C.3) and the projector to the subspaceInv(H,U ) beP inv.

Holography in the linearized quantum gravity regime and modular crossed product Let us denote the invariant subspace ofH under U-actions to be: Inv(H,U ) :={|ψ⟩∈ H|U(g)|ψ⟩ =|ψ⟩∀g∈G}, (C.3) and the projector to the subspaceInv(H,U ) beP inv

Reference 27

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Observation 44529bae-70b9-49af-b813-5ad18da5005e · outbound

This paper cites The Large N Limit of Superconformal Field Theories and Supergravity.

Holography in the linearized quantum gravity regime and modular crossed product The Large N Limit of Superconformal Field Theories and Supergravity

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Observation 495eaac7-c467-473d-a268-3c9af7cb26f6 · outbound

This paper cites Anti De Sitter Space And Holography.

Holography in the linearized quantum gravity regime and modular crossed product Anti De Sitter Space And Holography

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Observation af667557-e0f1-4d2f-888a-98ee92ab7eab · outbound

This paper cites AdS/CFT Duality User Guide.

Holography in the linearized quantum gravity regime and modular crossed product AdS/CFT Duality User Guide

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Observation 5fe4d624-535a-4dcd-9495-45189de2dd97 · outbound

This paper cites Holographic Derivation of Entanglement Entropy from AdS/CFT.

Holography in the linearized quantum gravity regime and modular crossed product Holographic Derivation of Entanglement Entropy from AdS/CFT

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Observation 68c377a7-0560-4343-bfb6-1d31d05ab74e · outbound

This paper cites A Covariant Holographic Entanglement Entropy Proposal.

Holography in the linearized quantum gravity regime and modular crossed product A Covariant Holographic Entanglement Entropy Proposal

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Observation 46339861-adb1-46ec-a112-fffa22b110c4 · outbound

This paper cites Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime.

Holography in the linearized quantum gravity regime and modular crossed product Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime

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Observation b2e7bf59-376c-4356-bc77-de8b04c117f8 · outbound

This paper cites Quantum corrections to holographic entanglement entropy.

Holography in the linearized quantum gravity regime and modular crossed product Quantum corrections to holographic entanglement entropy

Reference 34

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Observation d04895a7-cc2b-4f3a-a5d5-e4d02d8ce7a2 · outbound

This paper cites Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory.

Holography in the linearized quantum gravity regime and modular crossed product Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory

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Observation 26467906-8af3-4715-95dc-022fdf0b53e8 · outbound

This paper cites Holographic entanglement entropy is cutoff-covariant.

Holography in the linearized quantum gravity regime and modular crossed product Holographic entanglement entropy is cutoff-covariant

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Observation 50d5f8eb-cc76-4534-b6f9-c159ed4ca82a · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy

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Observation a2be138e-4c52-4caa-9abf-ea9847c8d369 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Relative entropy equals bulk relative entropy

Reference 39

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Observation 64c1d1a5-367f-47d2-bb84-36029c63799d · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Generalized gravitational entropy

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Observation 5ed24c43-0cee-4ec6-8c27-a68e6791f3b5 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product A UV-Finite Ryu-Takayanagi Relation from Relative Entropy in AdS$_3$/CFT$_2$

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Observation 8fd2438d-7853-4b9a-b7e5-c295c89d9e6d · outbound

This paper cites Mondal and K.

Holography in the linearized quantum gravity regime and modular crossed product Mondal and K

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Observation 81336c0a-26f7-4bdd-a3ff-6e1fa69725e7 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product The Entropy of Dynamical Black Holes

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Observation a744a540-9afb-430e-856a-149915032b30 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Decoherence from Horizons: General Formulation and Rotating Black Holes

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Observation 6db622b1-8c94-46ef-9928-06f55e645208 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Stability of Black Holes and Black Branes

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Observation e3670156-d36e-432d-88fc-de2a02841aba · outbound

This paper cites Let G be a locally compact group.

Holography in the linearized quantum gravity regime and modular crossed product Let G be a locally compact group

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Observation ba028b29-39b1-4830-b93b-bbe7e6f8e6da · outbound

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Holography in the linearized quantum gravity regime and modular crossed product O’Neill,Semi-riemannian submanifolds, inSemi-Riemannian Geometry with Applications to Relativity, Pure and Applied Mathematics, Academic Press (1983)

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Observation cc88fc9e-74a6-4e01-ba41-1b937622ffe6 · outbound

This paper cites Generalized Black Hole Entropy is von Neumann Entropy.

Holography in the linearized quantum gravity regime and modular crossed product Generalized Black Hole Entropy is von Neumann Entropy

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Observation d733bbee-a67f-4277-bcb2-b4d4f1435bfe · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Klinger, J

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Holography in the linearized quantum gravity regime and modular crossed product Araki,Type of von Neumann Algebra Associated with Free Field, Prog

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Holography in the linearized quantum gravity regime and modular crossed product Sorce,Notes on the type classification of von Neumann algebras, Rev

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Observation c129d912-1755-48a3-9f28-8303d2b0e9dd · outbound

This paper cites The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time.

Holography in the linearized quantum gravity regime and modular crossed product The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time

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Observation 1080580c-544f-4426-afc3-62d39f86b859 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Tomita-Takesaki Modular Theory

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Observation b1270ea0-9865-48b7-a172-ff6c5ebd9cb3 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product An Algebra of Observables for de Sitter Space

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Observation c5e50733-d0d7-4cf5-a120-4dc03e3b204f · outbound

This paper cites Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory.

Holography in the linearized quantum gravity regime and modular crossed product Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory

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Observation e2cdd107-dd04-4e93-ad90-d716e07399c0 · outbound

This paper cites Gravitational entropy is observer-dependent.

Holography in the linearized quantum gravity regime and modular crossed product Gravitational entropy is observer-dependent

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Observation 2192b8b1-a589-4326-b43b-28ab1c0e5172 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy

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Holography in the linearized quantum gravity regime and modular crossed product Takesaki,Duality for crossed products and the structure of von Neumann algebras of type III, Acta Mathematica131 (1973) 249

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Observation fa588afa-a76f-470c-a33a-7be4098ace59 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Gravity and the Crossed Product

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Observation eb8b62d6-c766-484d-9105-3eb9d3822600 · outbound

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Holography in the linearized quantum gravity regime and modular crossed product Rejzner,Interaction and renormalization of the scalar field theory, inPerturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians, (Cham), pp

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Observation 9c68ae8f-319b-42e8-8889-70f332978def · outbound

This paper cites Bulk Locality and Quantum Error Correction in AdS/CFT.

Holography in the linearized quantum gravity regime and modular crossed product Bulk Locality and Quantum Error Correction in AdS/CFT

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Observation da5f4a24-cfc5-41f0-a772-e1c4855131de · outbound

This paper cites Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence.

Holography in the linearized quantum gravity regime and modular crossed product Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:06.802653Z

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Unavailable: canonical work link unavailable.

Observation 21420391-5494-4a33-a3fc-99d2542c83e0 · outbound

This paper cites Holographic spacetime, black holes and quantum error correcting codes: A review.

Holography in the linearized quantum gravity regime and modular crossed product Holographic spacetime, black holes and quantum error correcting codes: A review

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:06.856800Z

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Observation 2217621f-dece-424f-a067-d0c8aaea2ce0 · outbound

This paper cites A covariant regulator for entanglement entropy: proofs of the Bekenstein bound and QNEC.

Holography in the linearized quantum gravity regime and modular crossed product A covariant regulator for entanglement entropy: proofs of the Bekenstein bound and QNEC

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:06.945398Z

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Observation 4521449e-8201-4937-ab6d-a14290395879 · outbound

This paper cites News vs Information.

Holography in the linearized quantum gravity regime and modular crossed product News vs Information

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.060314Z

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Observation 568c0f3e-16b5-45f1-a19a-263c8db988bf · outbound

This paper cites Danielson and G.

Holography in the linearized quantum gravity regime and modular crossed product Danielson and G

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.168275Z

Source-reported events for the cited work

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Observation 05fc2f76-608e-4202-a97b-17c3925b7711 · outbound

This paper cites Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy.

Holography in the linearized quantum gravity regime and modular crossed product Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.251577Z

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Observation ca2deb43-ded8-4a90-b3b0-91f89d00bf34 · outbound

This paper cites Gravitation from Entanglement in Holographic CFTs.

Holography in the linearized quantum gravity regime and modular crossed product Gravitation from Entanglement in Holographic CFTs

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.353955Z

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Observation 79f9cf14-4f1e-45e8-b525-869058abcc23 · outbound

This paper cites Relative Entropy and Holography.

Holography in the linearized quantum gravity regime and modular crossed product Relative Entropy and Holography

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.437164Z

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Observation acb64074-10f9-4a2f-9e45-cf4a46bb47bb · outbound

This paper cites Eternal Black Holes in AdS.

Holography in the linearized quantum gravity regime and modular crossed product Eternal Black Holes in AdS

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.530501Z

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Observation 6a4dfa40-bcdd-43ff-8bea-1a6e815a2c76 · outbound

This paper cites Killing Horizons Decohere Quantum Superpositions.

Holography in the linearized quantum gravity regime and modular crossed product Killing Horizons Decohere Quantum Superpositions

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.598905Z

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Observation 9cd7f288-07f1-434e-a1e1-3bd306a88a41 · outbound

This paper cites Pusz and S.L.

Holography in the linearized quantum gravity regime and modular crossed product Pusz and S.L

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.821146Z

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Observation ba99aac6-0299-4056-96b1-6de180f5f89e · outbound

This paper cites An introduction to amenable groups.

Holography in the linearized quantum gravity regime and modular crossed product An introduction to amenable groups

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.893994Z

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Observation 83992b0e-5fe0-4bc5-b349-06a1f9991820 · outbound

This paper cites Paterson,Amenability, vol.

Holography in the linearized quantum gravity regime and modular crossed product Paterson,Amenability, vol

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-01T09:21:07.965789Z

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