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Holographic Calculations of Euclidean Wilson Loop Correlator in Euclidean anti-de Sitter Space

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Sannah Ziama

High Energy Physics - Theory · Submitted 12 Jan 2015

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

The authors' main claim The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops.

how it is stated · asserted 1.00 read the record →

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arXiv ID1501.02778 (version 1)
Pith IDZJU5B35T, Pith's permanent record of this paper and its review
CitationSannah Ziama. "Holographic Calculations of Euclidean Wilson Loop Correlator in Euclidean anti-de Sitter Space." arXiv:1501.02778 (2015). https://pith.science/paper/ZJU5B35T
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,327 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops. The surfaces are parametrized by Riemann theta functions associated with genus three hyperelliptic Riemann surfaces. In the case of two loops, the distance $L$ by which they are separated can be adjusted by continuously varying a specific branch point of the auxiliary Riemann surface. When $L$ is much larger than the characteristic size of the loops, then the loops are approximately regarded as local operators and their correlator as the correlator of two local operators. Similarly, when a loop is very small compared to the size of another loop, the small loop is considered as a local operator corresponding to a light supergravity mode.

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 The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops. contribution 0.88 0.89 0.48 asserted 1.00
s1 The surfaces are parametrized by Riemann theta functions associated with genus three hyperelliptic Riemann surfaces. method 0.98 0.78 0.08 asserted 1.00
s2 In the case of two loops, the distance $L$ by which they are separated can be adjusted by continuously varying a specific branch point of the auxiliary Riemann surface. method 0.93 0.79 0.07 asserted 0.98
s3 When $L$ is much larger than the characteristic size of the loops, then the loops are approximately regarded as local operators and their correlator as the correlator of two local operators. interpretation 0.80 0.50 0.12 asserted 0.71
s4 Similarly, when a loop is very small compared to the size of another loop, the small loop is considered as a local operator corresponding to a light supergravity mode. interpretation 0.59 0.51 0.06 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.90.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
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

The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops. The surfaces are parametrized by Riemann theta functions associated with genus three hyperelliptic Riemann surfaces. In the case of two loops, the distance $L$ by which they are separated can be adjusted by continuously varying a specific branch point of the auxiliary Riemann surface. When $L$ is much larger than the characteristic size of the loops, then the loops are approximately regarded as local operators and their correlator as the correlator of two local operators. Similarly, when a loop is very small compared to the size of another loop, the small loop is considered as a local operator corresponding to a light supergravity mode.

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How the literature uses it

What this paper does with the arXiv papers it cites

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

What it cites · 11 sentences without a confident label

Builds on 1 paper
  • In previous work [ref] we provided solutions of minimal surfaces ending on several intersecting loops and in view of that the current results may be regarded as an extension of those results to nonconcentric and nonintersecting loops of various shapes.

    Wilson loops and Riemann theta functions II · Conclusion · 0.99

Uses the method or tool of 2 papers
Cites as background 14 papers
  • Since the inception of the AdS/CFT correspondence [ref] , many aspects of gauge theory have been made clearer by studying relevant quantities in string theory.

    Gauge Theory Correlators from Non-Critical String Theory · Introduction · 1.00

  • Many examples of Wilson loops have been studied in this context [ref] , with much more general examples recently computed in [ref] where a new, infinite parameter family of minimal area surfaces were studied.

    Wilson loops and Riemann theta functions II · Introduction · 0.89

  • Many examples of Wilson loops have been studied in this context [ref] , with much more general examples recently computed in [ref] where a new, infinite parameter family of minimal area surfaces were studied.

    Wilson loops and minimal area surfaces in hyperbolic space · Introduction · 0.89

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