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Entanglement entropy from surface terms in general relativity

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Arpan Bhattacharyya, Aninda Sinha

General Relativity and Quantum Cosmology · Submitted 15 May 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy.

how it is stated · asserted 0.98 read the record →

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arXiv ID1305.3448 (version 2)
Pith IDD754YXM3, Pith's permanent record of this paper and its review
CitationAninda Sinha, Arpan Bhattacharyya. "Entanglement entropy from surface terms in general relativity." arXiv:1305.3448 (2013). https://pith.science/paper/D754YXM3
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,012 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.83 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighbourhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1+1 dimensional CFTs at finite temperature whose gravity dual is the BTZ black hole, the Gibbons-Hawking-York term precisely reproduces the entanglement entropy which can be computed independently in the field theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighbourhood of the entangling region. background 1.00 0.04 0.02 asserted 0.97
s1 In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. contribution 0.91 0.92 0.77 asserted 0.98
s2 In particular, we demonstrate that for 1+1 dimensional CFTs at finite temperature whose gravity dual is the BTZ black hole, the Gibbons-Hawking-York term precisely reproduces the entanglement entropy which can be computed independently in the field theory. result 0.95 0.93 0.65 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighbourhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1+1 dimensional CFTs at finite temperature whose gravity dual is the BTZ black hole, the Gibbons-Hawking-York term precisely reproduces the entanglement entropy which can be computed independently in the field theory.

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References
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4 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 1 paper
  • In the previous approaches [ref] , an underlying motivation would originate in interdesciplinary relationship among thermodynamic features of the Einstein equation and information-theoretical aspects of black holes.

    Hessian potential for Fefferman-Graham metric · Introduction · 0.85

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