High Energy Physics - Theory · arXiv:2104.08070 v2 · submitted 16 Apr 2021
Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
The paper says
“More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them, and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.78 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. | contribution 0.99 | 0.73 | 0.11 | asserted 0.57 |
| We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. | result 1.00 | 0.95 | 0.32 | asserted 1.00 |
| The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. | interpretation 0.70 | 0.91 | 0.25 | hedged possibility 0.62 |
| More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. | result 1.00 | 0.90 | 0.29 | asserted 1.00 |
| We give an analytical understanding of this phenomenon. | contribution 0.85 | 0.92 | 0.06 | asserted 0.98 |
| By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them, and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition. | contribution 0.83 | 0.89 | 0.18 | asserted 0.98 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.92
What was examined, and what was not
Sources read
- arXiv listing abstract v2
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- references and citing sentences
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- S sections
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How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,900 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 3 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Mixed state entanglement measures for open string geometry hep-th · Sep 2026
- Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity hep-th · Dec 2025
- Diagnosing Critical Behavior in AdS Einstein-Maxwell-Scalar Theory via Holographic Entanglement Measures hep-th · Dec 2025
How the literature uses it
16 arXiv papers cite this in 23 sentences
Papers citing it · 13 sentences without a confident label
Uses its method or tool 1 paper
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We parametrize the minimum surface with the angle $θ≡arctan(z/x)$ (see Fig. [ref]), which can facilitate the solving of the minimum surface [ref] .
Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity · The Holographic entanglement entropy · 0.96
Compares with it 1 paper
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The log-log plots of these relationships converge to a slope of $1/3$, indicating that the critical exponent of the HEE and EWCS is [equation] Notably, the same scaling behavior has been observed in massive gravity theory [ref] .
Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity · The scaling behavior of Hawking page phase transition · 0.92
Cites it as support 1 paper
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Consequently, it can be inferred that MI can also be influenced by thermal entropy [ref] .
Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity · The Holographic entanglement entropy and mutual information · 0.98
Cites it as background 6 papers
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HEE has been widely used to identify static critical phenomena in holographic systems, such as thermal and quantum phase transitions [ref] .
Holographic Entanglement Entropy as a Probe of Dynamical Criticality in Scalarizing Black Holes · Discussion · 0.85
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Some recent works in this direction can be found in [ref] .
Information theoretic measures for Lifshitz system · Computation of holographic mutual information and EWCS for excited Lifshitz spacetime · 0.97
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In spite of the correct interpretational issues of $E_W$, a great deal of progress has been made in exploring and understanding its properties in various physical situations; see [ref] for more details.
Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field · Introduction · 0.89
What it cites · 56 sentences without a confident label
Compares with 1 paper
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We find that the relationship between the HEE and temperature is depends on the configuration, which is completely different from other black holes, such as AdS-RN black holes [ref] .
Holographic Entanglement Entropy Close to Quantum Phase Transitions · The Holographic entanglement entropy · 0.91
Cites as background 25 papers
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Recently, holographic gravity theory has built a bridge between quantum information and geometry and has sparkled important insights into the geometric correspondence of quantum information properties and the understanding of the emergence of spacetime [ref] .
Generalized gravitational entropy · Introduction · 0.93
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Recently, holographic gravity theory has built a bridge between quantum information and geometry and has sparkled important insights into the geometric correspondence of quantum information properties and the understanding of the emergence of spacetime [ref] .
A Covariant Holographic Entanglement Entropy Proposal · Introduction · 0.93
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Recently, holographic gravity theory has built a bridge between quantum information and geometry and has sparkled important insights into the geometric correspondence of quantum information properties and the understanding of the emergence of spacetime [ref] .
Deriving covariant holographic entanglement · Introduction · 0.93
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