Modular evolutions and causality in two-dimensional conformal field theory | Paper Citation Record

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This paper cites Tomita’s Theory of Modular Hilbert Algebras and its Applications.

Modular evolutions and causality in two-dimensional conformal field theory Tomita’s Theory of Modular Hilbert Algebras and its Applications

Reference 1

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This paper cites Local quantum physics: Fields, particles, algebras.

Modular evolutions and causality in two-dimensional conformal field theory Local quantum physics: Fields, particles, algebras

Reference 2

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This paper cites Operator algebras and quantum statistical mechanics 2: Equilibrium states. Models in quantum statistical mechanics.

Modular evolutions and causality in two-dimensional conformal field theory Operator algebras and quantum statistical mechanics 2: Equilibrium states. Models in quantum statistical mechanics

Reference 3

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This paper cites On revolutionizing quantum field theory with Tomita’s modular theory.

Modular evolutions and causality in two-dimensional conformal field theory On revolutionizing quantum field theory with Tomita’s modular theory

Reference 4

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This paper cites Theory of Operator Algebras II.

Modular evolutions and causality in two-dimensional conformal field theory Theory of Operator Algebras II

Reference 5

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This paper cites On the Duality Condition for a Hermitian Scalar Field.

Modular evolutions and causality in two-dimensional conformal field theory On the Duality Condition for a Hermitian Scalar Field

Reference 6

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This paper cites On the Duality Condition for Quantum Fields.

Modular evolutions and causality in two-dimensional conformal field theory On the Duality Condition for Quantum Fields

Reference 7

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This paper cites Global Conformal Invariance in Quantum Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Global Conformal Invariance in Quantum Field Theory

Reference 8

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This paper cites Conformal Invariance in Quantum Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Conformal Invariance in Quantum Field Theory

Reference 9

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This paper cites Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory

Reference 10

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This paper cites Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory

Reference 11

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This paper cites Modular structure and duality in conformal quantum field theory.

Modular evolutions and causality in two-dimensional conformal field theory Modular structure and duality in conformal quantum field theory

Reference 12

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This paper cites Towards a derivation of holographic entanglement entropy.

Modular evolutions and causality in two-dimensional conformal field theory Towards a derivation of holographic entanglement entropy

Reference 13

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This paper cites On the Modular Structure of Local Algebras of Observables.

Modular evolutions and causality in two-dimensional conformal field theory On the Modular Structure of Local Algebras of Observables

Reference 14

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This paper cites Modular conjugations in 2D conformal field theory and holographic bit threads.

Modular evolutions and causality in two-dimensional conformal field theory Modular conjugations in 2D conformal field theory and holographic bit threads

Reference 15

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This paper cites Entanglement Temperature and Entanglement Entropy of Excited States.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement Temperature and Entanglement Entropy of Excited States

Reference 16

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This paper cites Entanglement hamiltonians in two-dimensional conformal field theory.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement hamiltonians in two-dimensional conformal field theory

Reference 17

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This paper cites Reduced density matrix and internal dynamics for multicomponent regions.

Modular evolutions and causality in two-dimensional conformal field theory Reduced density matrix and internal dynamics for multicomponent regions

Reference 18

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This paper cites Calculation of reduced density matrices from correlation functions.

Modular evolutions and causality in two-dimensional conformal field theory Calculation of reduced density matrices from correlation functions

Reference 19

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This paper cites Geometric modular action for disjoint intervals and boundary conformal field theory.

Modular evolutions and causality in two-dimensional conformal field theory Geometric modular action for disjoint intervals and boundary conformal field theory

Reference 20

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This paper cites On the modular operator of mutli-component regions in chiral CFT.

Modular evolutions and causality in two-dimensional conformal field theory On the modular operator of mutli-component regions in chiral CFT

Reference 21

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This paper cites Causally oriented manifolds and groups.

Modular evolutions and causality in two-dimensional conformal field theory Causally oriented manifolds and groups

Reference 22

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This paper cites Mathematical Cosmology and Extragalactic Astronomy.

Modular evolutions and causality in two-dimensional conformal field theory Mathematical Cosmology and Extragalactic Astronomy

Reference 23

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This paper cites How to derive the Virasoro algebra from dilation invariance.

Modular evolutions and causality in two-dimensional conformal field theory How to derive the Virasoro algebra from dilation invariance

Reference 24

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This paper cites Modular conjugation for multicomponent regions.

Modular evolutions and causality in two-dimensional conformal field theory Modular conjugation for multicomponent regions

Reference 25

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This paper cites Wedge reflection positivity.

Modular evolutions and causality in two-dimensional conformal field theory Wedge reflection positivity

Reference 26

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This paper cites Quasiprimary Fields: An Approach to Positivity of 2- D Conformal Quantum Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Quasiprimary Fields: An Approach to Positivity of 2- D Conformal Quantum Field Theory

Reference 27

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This paper cites Generalized Functions Vol. 1: Properties and Operations.

Modular evolutions and causality in two-dimensional conformal field theory Generalized Functions Vol. 1: Properties and Operations

Reference 28

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This paper cites Anyonic Entanglement and Topological Entanglement Entropy.

Modular evolutions and causality in two-dimensional conformal field theory Anyonic Entanglement and Topological Entanglement Entropy

Reference 29

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This paper cites Characterizing the Entanglement of Anyonic Systems using the Anyonic Partial Transpose.

Modular evolutions and causality in two-dimensional conformal field theory Characterizing the Entanglement of Anyonic Systems using the Anyonic Partial Transpose

Reference 30

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This paper cites A characterization for isometries and conformal mappings of pseudo-Riemannian manifolds.

Modular evolutions and causality in two-dimensional conformal field theory A characterization for isometries and conformal mappings of pseudo-Riemannian manifolds

Reference 31

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This paper cites Analyticity and the Unruh effect: a study of local modular flow.

Modular evolutions and causality in two-dimensional conformal field theory Analyticity and the Unruh effect: a study of local modular flow

Reference 32

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This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a boundary.

Modular evolutions and causality in two-dimensional conformal field theory Modular Hamiltonians for the massless Dirac field in the presence of a boundary

Reference 33

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This paper cites Modular Groups of Quantum Fields in Thermal States.

Modular evolutions and causality in two-dimensional conformal field theory Modular Groups of Quantum Fields in Thermal States

Reference 34

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This paper cites Modular Hamiltonians for the massless Dirac field in the presence of a defect.

Modular evolutions and causality in two-dimensional conformal field theory Modular Hamiltonians for the massless Dirac field in the presence of a defect

Reference 35

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This paper cites Modular Hamiltonian of a chiral fermion on the torus.

Modular evolutions and causality in two-dimensional conformal field theory Modular Hamiltonian of a chiral fermion on the torus

Reference 36

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This paper cites The entanglement spectrum of chiral fermions on the torus.

Modular evolutions and causality in two-dimensional conformal field theory The entanglement spectrum of chiral fermions on the torus

Reference 37

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This paper cites Entropy and modular Hamiltonian for a free chiral scalar in two intervals.

Modular evolutions and causality in two-dimensional conformal field theory Entropy and modular Hamiltonian for a free chiral scalar in two intervals

Reference 38

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This paper cites Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems

Reference 39

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Observation ba444b4d-f317-472f-8e04-b1a4d9deee76 · outbound

This paper cites Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension.

Modular evolutions and causality in two-dimensional conformal field theory Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension

Reference 40

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This paper cites Entanglement Entropy and Twist Fields.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement Entropy and Twist Fields

Reference 41

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This paper cites Entanglement entropy of two disjoint intervals in conformal field theory.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropy of two disjoint intervals in conformal field theory

Reference 42

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This paper cites Entanglement entropy of two disjoint intervals in conformal field theory II.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropy of two disjoint intervals in conformal field theory II

Reference 43

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This paper cites On R\'enyi entropies of disjoint intervals in conformal field theory.

Modular evolutions and causality in two-dimensional conformal field theory On R\'enyi entropies of disjoint intervals in conformal field theory

Reference 44

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This paper cites Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice

Reference 45

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Observation 15ae7151-2ff4-4512-8371-e7b533a441c6 · outbound

This paper cites Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations

Reference 46

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Observation e6e04466-8498-4ba2-b740-8f8050ad34a1 · outbound

This paper cites Spin structures and entanglement of two disjoint intervals in conformal field theories.

Modular evolutions and causality in two-dimensional conformal field theory Spin structures and entanglement of two disjoint intervals in conformal field theories

Reference 47

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

Modular evolutions and causality in two-dimensional conformal field theory Holographic Derivation of Entanglement Entropy from AdS/CFT

Reference 48

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Observation 0a07b730-801d-448a-b007-ffc2cfd4b3e3 · outbound

This paper cites Aspects of Holographic Entanglement Entropy.

Modular evolutions and causality in two-dimensional conformal field theory Aspects of Holographic Entanglement Entropy

Reference 49

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Observation b1eed84a-c6f7-4dac-af9a-214cf6a686f8 · outbound

This paper cites A Covariant Holographic Entanglement Entropy Proposal.

Modular evolutions and causality in two-dimensional conformal field theory A Covariant Holographic Entanglement Entropy Proposal

Reference 50

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Observation ed24d154-9681-4a70-98be-542acdd095cd · outbound

This paper cites Causality & holographic entanglement entropy.

Modular evolutions and causality in two-dimensional conformal field theory Causality & holographic entanglement entropy

Reference 51

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Observation 6f30377a-0ca0-4409-a750-0b8a4d799714 · outbound

This paper cites Entanglement Renyi entropies in holographic theories.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement Renyi entropies in holographic theories

Reference 52

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This paper cites Holographic entanglement entropy: near horizon geometry and disconnected regions.

Modular evolutions and causality in two-dimensional conformal field theory Holographic entanglement entropy: near horizon geometry and disconnected regions

Reference 53

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This paper cites On shape dependence of holographic mutual information in AdS4.

Modular evolutions and causality in two-dimensional conformal field theory On shape dependence of holographic mutual information in AdS4

Reference 54

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This paper cites Causal connectability between quantum systems and the black hole interior in holographic duality.

Modular evolutions and causality in two-dimensional conformal field theory Causal connectability between quantum systems and the black hole interior in holographic duality

Reference 55

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Observation 7e05b636-0759-4bd6-a5d6-e8da1a312f6f · outbound

This paper cites Emergent times in holographic duality.

Modular evolutions and causality in two-dimensional conformal field theory Emergent times in holographic duality

Reference 56

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This paper cites Subregion-subalgebra duality: emergence of space and time in holography.

Modular evolutions and causality in two-dimensional conformal field theory Subregion-subalgebra duality: emergence of space and time in holography

Reference 57

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Observation 9830bb5c-5209-4f1c-af4d-6c5f8486ab72 · outbound

This paper cites Bit threads and holographic entanglement.

Modular evolutions and causality in two-dimensional conformal field theory Bit threads and holographic entanglement

Reference 58

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Observation b79a4e81-dcd3-4c7c-9b30-c4685f1abacb · outbound

This paper cites Geometric Aspects of Holographic Bit Threads.

Modular evolutions and causality in two-dimensional conformal field theory Geometric Aspects of Holographic Bit Threads

Reference 59

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Observation 2898ffe2-b98e-4b5a-bbc7-4d93b71248b4 · outbound

This paper cites Holographic thermal entropy from geodesic bit threads.

Modular evolutions and causality in two-dimensional conformal field theory Holographic thermal entropy from geodesic bit threads

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.577453Z

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Observation 9a0fbdcf-776d-46b8-b5e6-3fa5d3aa4e61 · outbound

This paper cites Entanglement entropies of an interval in the free Schr\"odinger field theory at finite density.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropies of an interval in the free Schr\"odinger field theory at finite density

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.541214Z

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Observation 7b37feee-a3fb-4f4a-a67a-c8fa60418ecc · outbound

This paper cites Entanglement entropies of an interval in the free Schr\"odinger field theory on the half line.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropies of an interval in the free Schr\"odinger field theory on the half line

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.516278Z

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Observation f127fbe3-1286-4a62-933c-29123a9c451b · outbound

This paper cites Entanglement Hamiltonian of a nonrelativistic Fermi gas.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement Hamiltonian of a nonrelativistic Fermi gas

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.481993Z

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Observation 789776ba-e13d-49b8-aab4-c8a214770df6 · outbound

This paper cites Reduced density matrices and entanglement entropy in free lattice models.

Modular evolutions and causality in two-dimensional conformal field theory Reduced density matrices and entanglement entropy in free lattice models

Reference 64

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Observation 2b0e683f-eb2f-43b7-99d5-e6eca45aa85b · outbound

This paper cites Entanglement entropy in free quantum field theory.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement entropy in free quantum field theory

Reference 65

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Observation 2e4a85c3-4d79-42a7-a5f2-9b1009527338 · outbound

This paper cites Operator content of real-space entanglement spectra at conformal critical points.

Modular evolutions and causality in two-dimensional conformal field theory Operator content of real-space entanglement spectra at conformal critical points

Reference 66

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Observation 699fe28e-7c8d-40e0-92d6-4ef7ca619981 · outbound

This paper cites Analytical results for the entanglement Hamiltonian of a free-fermion chain.

Modular evolutions and causality in two-dimensional conformal field theory Analytical results for the entanglement Hamiltonian of a free-fermion chain

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.821398Z

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Observation e032d3c9-cb5e-4d21-9aad-52f505bd5efc · outbound

This paper cites Properties of the entanglement Hamiltonian for finite free-fermion chains.

Modular evolutions and causality in two-dimensional conformal field theory Properties of the entanglement Hamiltonian for finite free-fermion chains

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.333775Z

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Observation 21f84e86-257f-4d4c-840d-ed61a37c7e61 · outbound

This paper cites On the continuum limit of the entanglement Hamiltonian.

Modular evolutions and causality in two-dimensional conformal field theory On the continuum limit of the entanglement Hamiltonian

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.830390Z

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Observation ee17c44c-1341-4ee9-a694-78793776b8eb · outbound

This paper cites On entanglement hamiltonians of an interval in massless harmonic chains.

Modular evolutions and causality in two-dimensional conformal field theory On entanglement hamiltonians of an interval in massless harmonic chains

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.835581Z

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Observation f3aadd60-45f7-4298-8139-18f657015aa7 · outbound

This paper cites Operator content of entanglement spectra after global quenches in the transverse field Ising chain.

Modular evolutions and causality in two-dimensional conformal field theory Operator content of entanglement spectra after global quenches in the transverse field Ising chain

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.260643Z

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Observation 9c5c1ad3-d2ae-4767-8f6c-a2eca6b5b090 · outbound

This paper cites Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals.

Modular evolutions and causality in two-dimensional conformal field theory Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

Reference 72

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Observation 93779d92-1506-49a2-8657-22fe76795bc5 · outbound

This paper cites Applied Conformal Field Theory.

Modular evolutions and causality in two-dimensional conformal field theory Applied Conformal Field Theory

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.852161Z

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Observation a7cf5b88-155b-403b-b4a2-c7ce7196c1a9 · outbound

This paper cites Pulling Out the Island with Modular Flow.

Modular evolutions and causality in two-dimensional conformal field theory Pulling Out the Island with Modular Flow

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.859432Z

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Observation 7ef3e2d8-e261-4885-890a-0e22875b3c46 · outbound

This paper cites The Negativity Hamiltonian: An operator characterization of mixed-state entanglement.

Modular evolutions and causality in two-dimensional conformal field theory The Negativity Hamiltonian: An operator characterization of mixed-state entanglement

Reference 75

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.161539Z

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Observation 4be65316-cde2-4440-ab9b-72efbbcfaa2f · outbound

This paper cites Entanglement and negativity Hamiltonians for the massless Dirac field on the half line.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement and negativity Hamiltonians for the massless Dirac field on the half line

Reference 76

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.118665Z

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Observation 60dd84ba-b289-49bb-a14a-7419c9bc9406 · outbound

This paper cites Entanglement negativity in quantum field theory.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement negativity in quantum field theory

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.880157Z

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Observation ed88466f-0d1b-4182-9e3b-96e1a1eca71c · outbound

This paper cites Entanglement negativity in extended systems: A field theoretical approach.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement negativity in extended systems: A field theoretical approach

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.885790Z

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Observation 315d6484-795e-49cc-94cf-3857242f6b67 · outbound

This paper cites Finite temperature entanglement negativity in conformal field theory.

Modular evolutions and causality in two-dimensional conformal field theory Finite temperature entanglement negativity in conformal field theory

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-10T18:17:53.891595Z

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Observation a2c437b1-328f-4528-846e-acf79fbe1b5c · outbound

This paper cites Entanglement negativity in the critical Ising chain.

Modular evolutions and causality in two-dimensional conformal field theory Entanglement negativity in the critical Ising chain

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:54.001484Z

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Observation e87c66c5-124e-4715-aea7-89b42b6db7b9 · outbound

This paper cites Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion.

Modular evolutions and causality in two-dimensional conformal field theory Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:17:53.969769Z

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