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Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence

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J. Erdmenger, M. Perez-Victoria

High Energy Physics - Theory · Submitted 26 Dec 1999

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

The authors' main claim We show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory.

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arXiv IDhep-th/9912250 (version 2)
Pith IDT76VP3QB, Pith's permanent record of this paper and its review
CitationJ. Erdmenger, M. Perez-Victoria. "Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence." arXiv:hep-th/9912250 (1999). https://pith.science/paper/T76VP3QB
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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, 3,520 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.70 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. Furthermore we consider next-to-extremal correlators within AdS supergravity. Here the exchange diagrams contributing to these correlators yield results of the same free-field form as obtained within field theory. This suggests that quantum corrections vanish at strong coupling as well.

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 show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. result 0.99 0.94 0.89 asserted 1.00
s1 Furthermore we consider next-to-extremal correlators within AdS supergravity. contribution 0.95 0.85 0.03 asserted 0.73
s2 Here the exchange diagrams contributing to these correlators yield results of the same free-field form as obtained within field theory. result 0.99 0.79 0.09 asserted 1.00
s3 This suggests that quantum corrections vanish at strong coupling as well. interpretation 1.00 0.44 0.35 hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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  • references and citing sentences
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  • 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 show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. Furthermore we consider next-to-extremal correlators within AdS supergravity. Here the exchange diagrams contributing to these correlators yield results of the same free-field form as obtained within field theory. This suggests that quantum corrections vanish at strong coupling as well.

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References
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8 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 · 7 sentences without a confident label

Cites it as support 1 paper
  • This class of correlators has been shown [ref] to be non-renormalised: their expressions are fixed by free-theory results, they do not receive any quantum corrections and all the exchanged operators are protected.

    Composite operators in $\mathcal{N}=4$ Super Yang-Mills · Free theory · 0.96

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