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The AdS3 boundary energy momentum tensor, exact in the string length over the curvature radius

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Jan Troost

High Energy Physics - Theory · Submitted 22 Jun 2010

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

The authors' main claim The bottom-line is a canonical shift in the normalization of the boundary energy-momentum tensor corresponding to a shift in the curvature radius over the string length squared by the dual Coxeter number of the SL(2,R) subalgebra of the space-time Virasoro algebra.

how it is stated · asserted 1.00 read the record →

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arXiv ID1006.4223 (version 1)
Pith ID7J3RPRT3, Pith's permanent record of this paper and its review
CitationJan Troost. "The AdS3 boundary energy momentum tensor, exact in the string length over the curvature radius." arXiv:1006.4223 (2010). https://pith.science/paper/7J3RPRT3
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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, 4,407 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.42 · compares with prior results 0.33 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. The latter correspond to solutions of the higher derivative low-energy tree level effective action to all orders in the string length over the curvature radius. We then calculate the exact expression of the boundary energy momentum tensor including all these higher derivative corrections in a purely bosonic string theory. The bottom-line is a canonical shift in the normalization of the boundary energy-momentum tensor corresponding to a shift in the curvature radius over the string length squared by the dual Coxeter number of the SL(2,R) subalgebra of the space-time Virasoro algebra. That allows us to derive the value of the Brown-Henneaux central charge including all tree level higher derivative corrections in bosonic string theory, in a scheme dictated by the worldsheet conformal 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 We first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. contribution 0.92 0.71 0.04 asserted 0.96
s1 The latter correspond to solutions of the higher derivative low-energy tree level effective action to all orders in the string length over the curvature radius. background 0.52 0.21 0.06 asserted 1.00
s2 We then calculate the exact expression of the boundary energy momentum tensor including all these higher derivative corrections in a purely bosonic string theory. contribution 0.93 0.95 0.10 asserted 1.00
s3 The bottom-line is a canonical shift in the normalization of the boundary energy-momentum tensor corresponding to a shift in the curvature radius over the string length squared by the dual Coxeter number of the SL(2,R) subalgebra of the space-time Virasoro algebra. result 0.95 0.87 0.83 asserted 1.00
s4 That allows us to derive the value of the Brown-Henneaux central charge including all tree level higher derivative corrections in bosonic string theory, in a scheme dictated by the worldsheet conformal field theory. result 0.91 0.92 0.32 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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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 first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. The latter correspond to solutions of the higher derivative low-energy tree level effective action to all orders in the string length over the curvature radius. We then calculate the exact expression of the boundary energy momentum tensor including all these higher derivative corrections in a purely bosonic string theory. The bottom-line is a canonical shift in the normalization of the boundary energy-momentum tensor corresponding to a shift in the curvature radius over the string length squared by the dual Coxeter number of the SL(2,R) subalgebra of the space-time Virasoro algebra. That allows us to derive the value of the Brown-Henneaux central charge including all tree level higher derivative corrections in bosonic string theory, in a scheme dictated by the worldsheet conformal field theory.

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References
How the literature uses it

4 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 · 6 sentences without a confident label

Cites it as background 2 papers
  • In string theory, the central charge in the space-time boundary conformal field theory was computed in $AdS_3$ with Neveu-Schwarz-Neveu-Schwarz flux in [ref] [ref] [ref] [ref] [ref] and for the case of $AdS_3$ with Ramond-Ramond flux in [ref] .

    The AdS3 central charge in string theory · Introduction · 0.92

  • More recently, in the series of papers [ref] , the $AdS_3$ background with RR flux has been considered from the point of view of the worldsheet current algebra and its massless sector and other interesting observables have been computed.

    Superstrings in AdS · $b$ antighost · 0.95

What it cites · 23 sentences without a confident label

Uses the method or tool of 5 papers
  • Using a similar equation for deriving with respect to $x̅$, we obtain the result: [equation] From now on, we again follow [ref] closely and compute the operator product $∂_x̅ T(x)T(y)$.

    More Comments on String Theory on AdS_3 · The $TT$ operator product · 0.93

  • One can do this by the techniques developed in [ref] and applied in [ref] [One uses the Ward identities computed in appendix A of [ref] and applies them to the operator $Φ_1 J J̅$ inserted in a two-point function of two unit operators.].

    Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions · Final remark · 1.00

  • One can do this by the techniques developed in [ref] and applied in [ref] [One uses the Ward identities computed in appendix A of [ref] and applies them to the operator $Φ_1 J J̅$ inserted in a two-point function of two unit operators.].

    Operator product expansion and factorization in the $H_3^+$-WZNW model · Final remark · 1.00

Compares with 1 paper
  • The normalization of the energy-momentum tensor is $1/(k-2)$ for a level $k$ current algebra[ Our equation differs from equation (4.15) in [ref] at higher orders in the $1/k$ expansion.

    More Comments on String Theory on AdS_3 · The $TT$ operator product · 0.86

Cites as background 5 papers

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