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Exact Noncommutative Solitons
High Energy Physics - Theory · Submitted 9 Oct 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The solitons in the effective field theory description of open string field theory are interpreted as D-branes for any value of the noncommutativity.
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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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The abstract, sentence by sentence
We find exact solitons in a large class of noncommutative gauge theories using a simple solution generating technique. The solitons in the effective field theory description of open string field theory are interpreted as D-branes for any value of the noncommutativity. We discuss the vacuum structure of open string field theory in view of our results.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We find exact solitons in a large class of noncommutative gauge theories using a simple solution generating technique. | contribution 0.68 | 0.97 | 0.61 | asserted 1.00 |
| s1 | The solitons in the effective field theory description of open string field theory are interpreted as D-branes for any value of the noncommutativity. | interpretation 0.98 | 0.67 | 0.40 | asserted 1.00 |
| s2 | We discuss the vacuum structure of open string field theory in view of our results. | contribution 0.52 | 0.73 | 0.08 | unclear 0.70 |
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The paper
Original abstract
We find exact solitons in a large class of noncommutative gauge theories using a simple solution generating technique. The solitons in the effective field theory description of open string field theory are interpreted as D-branes for any value of the noncommutativity. We discuss the vacuum structure of open string field theory in view of our results.
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References
How the literature uses it
9 arXiv papers cite this in 14 sentences
Papers citing it · 8 sentences without a confident label
Uses its method or tool 3 papers
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We see that there are linear terms in the potential ([ref]) in $φ_3$, which will prevent us from applying the solution generating technique used in the previous subsection since these lead to terms in the equations of motion proportional to identity, and, therefore, they do not transform adjointly under the solution generating transformations [ref] .
Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions · Case 2: No constraint · 0.88
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More general solutions can be found using the solution generating technique which applies partial gauge transformations to the vacuum solution [ref] [ref] .
Noncommutative Instantons in Diverse Dimensions · Explicit Solutions · 0.96
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A large class of nontrivial solutions can be produced using the solution generating technique [ref] .
Tetrahedron instantons · Noncommutative instantons · 0.93
Cites it as background 2 papers
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Detailed investigations of noncommutative gauge theories have led to the discovery of localized static classical solutions in noncommutative spaces [ref] .
Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories · Introduction · 0.91
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Detailed investigations of noncommutative gauge theories have led to the discovery of localized static classical solutions in noncommutative spaces [ref] .
Noncommutative Vortices and Instantons from Generalized Bose Operators · Introduction · 0.81
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