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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.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0105029 (version 3)
Pith IDXW377OR7, Pith's permanent record of this paper and its review
CitationDae Kil Park (Kyungnam & Michigan Uni.), Harald J.W. Mueller-Kirsten (Kaiserslautern Uni.), Yan-Gang Miao (Kaiserslautern & Xiamen Uni.). "Duality Symmetry in Momentum Frame." arXiv:hep-th/0105029 (2001). https://pith.science/paper/XW377OR7
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The compiled record

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, 4,884 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.27 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

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

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

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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References
How the literature uses it

1 arXiv paper cite this in 2 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

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper
  • 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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