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Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge Theories

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Timothy J. Hollowood, Valentin V. Khoze, Gabriele Travaglini

High Energy Physics - Theory · Submitted 8 Feb 2001

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

The authors' main claim We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution.

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arXiv IDhep-th/0102045 (version 2)
Pith IDJXQFILAA, Pith's permanent record of this paper and its review
CitationGabriele Travaglini, Timothy J. Hollowood, Valentin V. Khoze. "Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge Theories." arXiv:hep-th/0102045 (2001). https://pith.science/paper/JXQFILAA
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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, 4,189 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.22 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.

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 study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. contribution 0.88 0.90 0.04 asserted 0.71
s1 Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. contribution 0.65 0.96 0.12 asserted 1.00
s2 We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. result 1.00 0.95 0.68 asserted 1.00
s3 IR/UV mixing is present in the U(1), but not in SU(N). result 1.00 0.84 0.22 asserted 1.00
s4 Our analysis is based on explicit perturbative and multi-instanton calculations. method 1.00 0.94 0.03 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

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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 study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.

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