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On the Hierarchy Between Non-Commutative and Ordinary Supersymmetric Yang-Mills

High Energy Physics - Theory · Submitted 9 Nov 1999

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

The authors' main claim We claim, however, that the two descriptions form a hierarchy.

how it is stated · asserted 0.85 read the record →

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arXiv IDhep-th/9911057 (version 2)
Pith IDYFNGL6CE, Pith's permanent record of this paper and its review
CitationAkikazu Hashimoto, N. Itzhaki. "On the Hierarchy Between Non-Commutative and Ordinary Supersymmetric Yang-Mills." arXiv:hep-th/9911057 (1999). https://pith.science/paper/YFNGL6CE
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,530 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.71 · mentions code or data availability 0.01.

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

Non-commutative supersymmetric Yang-Mills with rational Theta is dual to an ordinary supersymmetric Yang-Mills with a 't Hooft flux. It is believed that the simplest description is via the ordinary supersymmetric Yang-Mills. We claim, however, that the two descriptions form a hierarchy. The SYM description is the proper description in the ultra violet while the non-commutative description takes over in the infra red.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Non-commutative supersymmetric Yang-Mills with rational Theta is dual to an ordinary supersymmetric Yang-Mills with a 't Hooft flux. background 0.92 0.14 0.09 asserted 1.00
s1 It is believed that the simplest description is via the ordinary supersymmetric Yang-Mills. background 1.00 0.04 0.03 hedged possibility 0.73
s2 We claim, however, that the two descriptions form a hierarchy. contribution 0.73 0.42 0.69 asserted 0.85
s3 The SYM description is the proper description in the ultra violet while the non-commutative description takes over in the infra red. result 0.77 0.54 0.74 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.87 · evidence from argument 0.95.

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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

Non-commutative supersymmetric Yang-Mills with rational Theta is dual to an ordinary supersymmetric Yang-Mills with a 't Hooft flux. It is believed that the simplest description is via the ordinary supersymmetric Yang-Mills. We claim, however, that the two descriptions form a hierarchy. The SYM description is the proper description in the ultra violet while the non-commutative description takes over in the infra red.

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References
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3 arXiv papers cite this in 4 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

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  • Various dual descriptions have a window of energy scales where they are the most effective description of the system.[A similar structure appears in the context of Morita-equivalences of non-commutative field theory [ref] .] In some cases, such as [ref] , these flows are related to Seiberg duality [ref] ; the interpretation of this via Page charges was described in [ref] .

    D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades · Charge quantization · 0.97

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