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N=2 Supersymmetric QCD and Integrable Spin Chains: Rational Case N_f < 2N_c

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A.Gorsky, A.Marshakov, A.Mironov, A.Morozov

High Energy Physics - Theory · Submitted 20 Mar 1996

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

The authors' main claim For $N_f < 2N_c$ the relevant spin chain is the simplest $XXX$-model, and this identification is in agreement with the known results in Seiberg-Witten theory.

how it is stated · asserted 0.96 read the record →

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arXiv IDhep-th/9603140 (version 1)
Pith ID7YTLVR7Q, Pith's permanent record of this paper and its review
CitationA.Gorsky, A.Marshakov, A.Mironov, A.Morozov. "N=2 Supersymmetric QCD and Integrable Spin Chains: Rational Case N_f < 2N_c." arXiv:hep-th/9603140 (1996). https://pith.science/paper/7YTLVR7Q
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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, 2,447 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.31 · compares with prior results 0.85 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The form of the spectral curve for $4d$ $N=2$ supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its $1d$ integrable counterpart should be looked for among (inhomogeneous) $sl(2)$ spin chains with the length of the chain being equal to the number of colours $N_c$. For $N_f < 2N_c$ the relevant spin chain is the simplest $XXX$-model, and this identification is in agreement with the known results in Seiberg-Witten 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 The form of the spectral curve for $4d$ $N=2$ supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its $1d$ integrable counterpart should be looked for among (inhomogeneous) $sl(2)$ spin chains with the length of the chain being equal to the number of colours $N_c$. interpretation 0.39 0.19 0.29 hedged possibility 0.99
s1 For $N_f < 2N_c$ the relevant spin chain is the simplest $XXX$-model, and this identification is in agreement with the known results in Seiberg-Witten theory. result 0.86 0.28 0.58 asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.92 · evidence from argument 0.84.

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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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

The form of the spectral curve for $4d$ $N=2$ supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its $1d$ integrable counterpart should be looked for among (inhomogeneous) $sl(2)$ spin chains with the length of the chain being equal to the number of colours $N_c$. For $N_f < 2N_c$ the relevant spin chain is the simplest $XXX$-model, and this identification is in agreement with the known results in Seiberg-Witten theory.

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References
How the literature uses it

19 arXiv papers cite this in 24 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 · 15 sentences without a confident label

Compares with it 1 paper
  • Despite the similarity to the problems (for finite $A_r$ quivers in four dimensions) studied in [ref] and also in [ref] , there are important conceptual differences which we shall explain below.

    Quantum geometry and quiver gauge theories · Focus of the paper · 0.99

Cites it as background 7 papers
  • In the language of integrable systems they look quite similar to combinatorial or character representations for the tau-functions [ref] , whose quasiclassical counterparts appeared in description of the Seiberg-Witten theory in terms of integrable systems [ref] .

    On Combinatorial Expansions of Conformal Blocks · Introduction · 0.85

  • It has been known that this exact solution possesses an interpretation in terms of integrable systems [ref] .

    Deformed Prepotential, Quantum Integrable System and Liouville Field Theory · Introduction · 0.94

  • Generally, for the $U(N)$ theory with $N_f≤2N$ flavors on small phase space one usually starts [ref] with the analog of the representation WQ

    On Gauge Theories as Matrix Models · Supersymmetric QCD, conformal theory and logarithmic potentials · 0.86

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