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All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons

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Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi

High Energy Physics - Theory · Submitted 21 Jul 2012

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

The authors' main claim We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) x U(N)] gauge theory with a bi-fudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions.

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arXiv ID1207.5143 (version 2)
Pith ID5TKM74SE, Pith's permanent record of this paper and its review
CitationKeisuke Ohashi, Minoru Eto, Muneto Nitta, Toshiaki Fujimori. "All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons." arXiv:1207.5143 (2012). https://pith.science/paper/5TKM74SE
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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, 3,023 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.95 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.34 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) x U(N)] gauge theory with a bi-fudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions. This work provides, for the first time, exact non-Abelian vortex solutions. We establish the ADHM construction for non-Abelian vortices and identify all the moduli parameters and the complete moduli space.

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 successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) x U(N)] gauge theory with a bi-fudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions. contribution 0.52 0.95 0.78 asserted 1.00
s1 This work provides, for the first time, exact non-Abelian vortex solutions. contribution 0.63 0.93 0.30 asserted 1.00
s2 We establish the ADHM construction for non-Abelian vortices and identify all the moduli parameters and the complete moduli space. contribution 0.70 0.95 0.21 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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  • P abstract
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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

We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) x U(N)] gauge theory with a bi-fudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions. This work provides, for the first time, exact non-Abelian vortex solutions. We establish the ADHM construction for non-Abelian vortices and identify all the moduli parameters and the complete moduli space.

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5 arXiv papers cite this in 5 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 · 3 sentences without a confident label

Cites it as background 2 papers

What it cites · 5 sentences without a confident label

Builds on 1 paper
Cites as background 7 papers
  • Non-Abelian vortices also play prominent roles as instantons in non-perturbative dynamics of gauge theories in lower dimensions, similar to the role of Yang-Mills instantons [ref] in four dimensions; the non-perturbative partition function has been extensively studied by the vortex counting in $N=(2,2)$ supersymmetric gauge theories in two dimensions [ref] , similar to the instanton counting in four dimensions [ref] .

    Vortex Counting and Lagrangian 3-manifolds · Introduction · 0.81

  • The asymptotic metric for well-separated vortices was obtained [ref] to study the low-energy scattering [ref] .

    Dynamics of Non-Abelian Vortices · Introduction · 0.88

  • The asymptotic metric for well-separated vortices was obtained [ref] to study the low-energy scattering [ref] .

    The Moduli Space Metric for Well-Separated Non-Abelian Vortices · Introduction · 0.88

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