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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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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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3 arXiv papers cite this in 4 sentences
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Cites it as background 1 paper
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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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