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Duality Symmetry in Momentum Frame
High Energy Physics - Theory · Submitted 3 May 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The self-duality of them with respect to dualization of chiral fields is uncovered.
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The abstract, sentence by sentence
Siegel's action is generalized to the D=2(p+1) (p even) dimensional space-time. The investigation of self-duality of chiral p-forms is extended to the momentum frame, using Siegel's action of chiral bosons in two space-time dimensions and its generalization in higher dimensions as examples. The whole procedure of investigation is realized in the momentum space which relates to the configuration space through the Fourier transformation of fields. These actions correspond to non-local Lagrangians in the momentum frame. The self-duality of them with respect to dualization of chiral fields is uncovered. The relationship between two self-dual tensors in momentum space, whose similar form appears in configuration space, plays an important role in the calculation, that is, its application realizes solving algebraically an integral equation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Siegel's action is generalized to the D=2(p+1) (p even) dimensional space-time. | contribution 0.91 | 0.66 | 0.07 | asserted 1.00 |
| s1 | The investigation of self-duality of chiral p-forms is extended to the momentum frame, using Siegel's action of chiral bosons in two space-time dimensions and its generalization in higher dimensions as examples. | contribution 0.97 | 0.82 | 0.14 | asserted 0.99 |
| s2 | The whole procedure of investigation is realized in the momentum space which relates to the configuration space through the Fourier transformation of fields. | method 0.99 | 0.78 | 0.06 | asserted 1.00 |
| s3 | These actions correspond to non-local Lagrangians in the momentum frame. | result 0.72 | 0.66 | 0.08 | asserted 1.00 |
| s4 | The self-duality of them with respect to dualization of chiral fields is uncovered. | result 1.00 | 0.86 | 0.56 | asserted 1.00 |
| s5 | The relationship between two self-dual tensors in momentum space, whose similar form appears in configuration space, plays an important role in the calculation, that is, its application realizes solving algebraically an integral equation. | method 0.84 | 0.79 | 0.21 | asserted 1.00 |
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Original abstract
Siegel's action is generalized to the D=2(p+1) (p even) dimensional space-time. The investigation of self-duality of chiral p-forms is extended to the momentum frame, using Siegel's action of chiral bosons in two space-time dimensions and its generalization in higher dimensions as examples. The whole procedure of investigation is realized in the momentum space which relates to the configuration space through the Fourier transformation of fields. These actions correspond to non-local Lagrangians in the momentum frame. The self-duality of them with respect to dualization of chiral fields is uncovered. The relationship between two self-dual tensors in momentum space, whose similar form appears in configuration space, plays an important role in the calculation, that is, its application realizes solving algebraically an integral equation.
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1 arXiv paper cite this in 2 sentences
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Based on the important role played by the duality and/or self-duality in the ordinary chiral $p$-forms and the related theories [ref] , it is curious to argue whether such a symmetry maintains or not in their various noncommutative generalizations.
Noncommutative Extension of Minkowski Spacetime and Its Primary Application · Self-duality of noncommutative chiral bosons · 0.91
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