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Entropy from AdS(3)/CFT(2)

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N. Tetradis

High Energy Physics - Theory · Submitted 13 Jun 2011

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

The authors' main claim We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric.

how it is stated · speculative 0.53 read the record →

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arXiv ID1106.2492 (version 2)
Pith ID2TOPPPT3, Pith's permanent record of this paper and its review
CitationN. Tetradis. "Entropy from AdS(3)/CFT(2)." arXiv:1106.2492 (2011). https://pith.science/paper/2TOPPPT3
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,225 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.90 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.76 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with Fefferman-Graham coordinates starting from the AdS boundary. We consider various boundary metrics: Rindler, static de Sitter and FRW. In each case, we compute the holographic stress-energy tensor of the dual CFT and confirm that it has the correct form, including the effects of the conformal anomaly. We find that the Fefferman-Graham parametrization also spans a second copy of the AdS space, including a second boundary. For the boundary metrics we consider, the Fefferman-Graham coordinates do not cover the whole AdS space. We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric. For Rindler and de Sitter backgrounds our proposal reproduces the expected entropy. For a FRW background it produces a generalization of the Cardy formula that takes into account the vacuum energy related to the expansion.

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 We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with Fefferman-Graham coordinates starting from the AdS boundary. method 0.97 0.92 0.02 asserted 1.00
s1 We consider various boundary metrics: Rindler, static de Sitter and FRW. method 0.65 0.81 0.02 asserted 0.93
s2 In each case, we compute the holographic stress-energy tensor of the dual CFT and confirm that it has the correct form, including the effects of the conformal anomaly. result 0.70 0.95 0.05 asserted 1.00
s3 We find that the Fefferman-Graham parametrization also spans a second copy of the AdS space, including a second boundary. result 1.00 0.93 0.08 asserted 1.00
s4 For the boundary metrics we consider, the Fefferman-Graham coordinates do not cover the whole AdS space. result 0.62 0.87 0.05 asserted 1.00
s5 We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric. interpretation 0.57 0.70 0.82 speculative 0.53
s6 For Rindler and de Sitter backgrounds our proposal reproduces the expected entropy. result 1.00 0.90 0.12 asserted 1.00
s7 For a FRW background it produces a generalization of the Cardy formula that takes into account the vacuum energy related to the expansion. result 1.00 0.91 0.17 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with Fefferman-Graham coordinates starting from the AdS boundary. We consider various boundary metrics: Rindler, static de Sitter and FRW. In each case, we compute the holographic stress-energy tensor of the dual CFT and confirm that it has the correct form, including the effects of the conformal anomaly. We find that the Fefferman-Graham parametrization also spans a second copy of the AdS space, including a second boundary. For the boundary metrics we consider, the Fefferman-Graham coordinates do not cover the whole AdS space. We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric. For Rindler and de Sitter backgrounds our proposal reproduces the expected entropy. For a FRW background it produces a generalization of the Cardy formula that takes into account the vacuum energy related to the expansion.

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How the literature uses it

5 arXiv papers cite this in 8 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 support 1 paper
  • However, the connection with the entropy persists: The excluded part of the bulk lies away from the boundary and is related to the thermal entropy of the dual CFT [ref] .

    Holographic Horizons · Horizons and entropy · 0.96

Cites it as background 2 papers

What it cites · 30 sentences without a confident label

Uses the method or tool of 1 paper
Compares with 4 papers
Cites as background 11 papers

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