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Topics in noncommutative integrable theories and holographic brane-world cosmology

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Liuba Mazzanti

High Energy Physics - Theory · Submitted 7 Dec 2007

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

The authors' main claim The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters.

how it is stated · asserted 1.00 read the record →

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arXiv ID0712.1116 (version 2)
Pith ID62XITCLK, Pith's permanent record of this paper and its review
CitationLiuba Mazzanti. "Topics in noncommutative integrable theories and holographic brane-world cosmology." arXiv:0712.1116 (2007). https://pith.science/paper/62XITCLK
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,419 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.61 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.26 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. The question is whether we can obtain an integrable NC SG with factorized S matrix. Of the two models we study, the second NC SG -- derived by dimensional reduction from the stringy NC self-dual YM in (2+2) dimensions -- exhibits the good properties of S matrix required by integrability in 2D, while the first one does not. As a second topic, a particular brane-world model is analyzed both from the cosmological point of view and in the spirit of holography, after introducing conventional cosmology, brane-worlds and AdS/CFT. The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters. We construct the holographic dual theory, represented by a renormalized 6D CFT coupled to 6D gravity. The matching of parameters on the two sides of the duality is then achieved in specific approximations.

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 This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. background 0.59 0.47 0.03 asserted 0.97
s1 We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. contribution 0.99 0.87 0.04 asserted 0.96
s2 The question is whether we can obtain an integrable NC SG with factorized S matrix. gap 0.70 0.12 0.03 unclear 0.53
s3 Of the two models we study, the second NC SG -- derived by dimensional reduction from the stringy NC self-dual YM in (2+2) dimensions -- exhibits the good properties of S matrix required by integrability in 2D, while the first one does not. result 1.00 0.94 0.26 asserted 1.00
s4 As a second topic, a particular brane-world model is analyzed both from the cosmological point of view and in the spirit of holography, after introducing conventional cosmology, brane-worlds and AdS/CFT. contribution 0.87 0.76 0.03 asserted 0.95
s5 The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters. result 0.98 0.94 0.27 asserted 1.00
s6 We construct the holographic dual theory, represented by a renormalized 6D CFT coupled to 6D gravity. contribution 0.78 0.93 0.07 asserted 1.00
s7 The matching of parameters on the two sides of the duality is then achieved in specific approximations. method 0.46 0.89 0.07 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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  • references and citing sentences
  • relations to other papers
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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

This thesis follows two main lines of research, both related to relevant aspects of string theory and its phenomenological/cosmological applications. We study two different generalizations of the integrable SG model to NC geometry, after discussing general properties and issues of integrable theories and NC field theories, mentioning their role in string theory. The question is whether we can obtain an integrable NC SG with factorized S matrix. Of the two models we study, the second NC SG -- derived by dimensional reduction from the stringy NC self-dual YM in (2+2) dimensions -- exhibits the good properties of S matrix required by integrability in 2D, while the first one does not. As a second topic, a particular brane-world model is analyzed both from the cosmological point of view and in the spirit of holography, after introducing conventional cosmology, brane-worlds and AdS/CFT. The 7D RS set-up with brane-bulk energy exchange we propose leads to a non conventional cosmological evolution where all fixed points have positive acceleration and are found to be stable for a wide range of choices for the parameters. We construct the holographic dual theory, represented by a renormalized 6D CFT coupled to 6D gravity. The matching of parameters on the two sides of the duality is then achieved in specific approximations.

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3 arXiv papers cite this in 3 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

Cites it as background 3 papers

What it cites · 99 sentences without a confident label

Builds on 1 paper
  • So, I now wish to establish the correspondence between this energy exchange and its dual object in the generalization of the holographic theory, following [ref] .

    Holography and Brane-bulk Energy Exchange · Holographic cosmology in four dimensions · 0.87

Uses the method or tool of 3 papers
Compares with 3 papers
  • Namely, following [ref] one comes to the traces A_(2) = ℓ/16G_N^(3)R A_(4) = ℓ^3/2G_N^(5)(E_(4)+I_(4)) with E_(4) = 1/64(R^ρR_ρ-4r^R_+R^2) I_(4) = -64(R^ρR_ρ-2R^R_+3R^3) being the Euler density and the local conformal invariant in four dimensions.

    Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence · Conformal anomaly via holography · 0.90

  • Namely, following [ref] one comes to the traces A_(2) = ℓ/16G_N^(3)R A_(4) = ℓ^3/2G_N^(5)(E_(4)+I_(4)) with E_(4) = 1/64(R^ρR_ρ-4r^R_+R^2) I_(4) = -64(R^ρR_ρ-2R^R_+3R^3) being the Euler density and the local conformal invariant in four dimensions.

    The Holographic Weyl anomaly · Conformal anomaly via holography · 0.90

  • Namely, following [ref] one comes to the traces A_(2) = ℓ/16G_N^(3)R A_(4) = ℓ^3/2G_N^(5)(E_(4)+I_(4)) with E_(4) = 1/64(R^ρR_ρ-4r^R_+R^2) I_(4) = -64(R^ρR_ρ-2R^R_+3R^3) being the Euler density and the local conformal invariant in four dimensions.

    Quantum effective action from the AdS/CFT correspondence · Conformal anomaly via holography · 0.90

Cites as background 60 papers
  • Let me now introduce the two Randall–Sundrum (RS) models [ref] and the cosmologies that develop specially in the one brane RS set–up.

    A Large Mass Hierarchy from a Small Extra Dimension · The Randall–Sundrum alternative · 0.97

  • In the model inspired by the Horawa–Witten M theory solution [ref] and proposed by Binétruy, Deffayet and Langlois [ref] the fifth dimension is compactified on a circle which is then orbifolded as in RSI model.

    Eleven-Dimensional Supergravity on a Manifold with Boundary · Flat extra dimensions · 0.89

  • In the model inspired by the Horawa–Witten M theory solution [ref] and proposed by Binétruy, Deffayet and Langlois [ref] the fifth dimension is compactified on a circle which is then orbifolded as in RSI model.

    Non-conventional cosmology from a brane-universe · Flat extra dimensions · 0.89

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