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Symplectic Approach of Wess-Zumino-Witten Model and Gauge Field Theories
dg-ga · Submitted 4 Apr 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the Chern-Simons model.
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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
A systematic description of the Wess-Zumino-Witten model is presented. The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the Chern-Simons model. The quantum theory is obtained to give the projective representation of the Loop group. The Gauss constraints for the connection whose curvature is only focused on several fixed points are solved. The Kohno connection and the Knizhnik-Zamolodchikov equation are derived. The holonomy representation and $\check R$-matrix representation of braid group are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A systematic description of the Wess-Zumino-Witten model is presented. | contribution 0.97 | 0.87 | 0.09 | asserted 1.00 |
| s1 | The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the Chern-Simons model. | method 0.88 | 0.82 | 0.27 | asserted 1.00 |
| s2 | The quantum theory is obtained to give the projective representation of the Loop group. | result 0.92 | 0.87 | 0.17 | asserted 1.00 |
| s3 | The Gauss constraints for the connection whose curvature is only focused on several fixed points are solved. | result 0.53 | 0.84 | 0.06 | asserted 1.00 |
| s4 | The Kohno connection and the Knizhnik-Zamolodchikov equation are derived. | result 0.94 | 0.87 | 0.11 | asserted 1.00 |
| s5 | The holonomy representation and $\check R$-matrix representation of braid group are discussed. | contribution 0.76 | 0.73 | 0.09 | asserted 0.95 |
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Original abstract
A systematic description of the Wess-Zumino-Witten model is presented. The symplectic method plays the major role in this paper and also gives the relationship between the WZW model and the Chern-Simons model. The quantum theory is obtained to give the projective representation of the Loop group. The Gauss constraints for the connection whose curvature is only focused on several fixed points are solved. The Kohno connection and the Knizhnik-Zamolodchikov equation are derived. The holonomy representation and $\check R$-matrix representation of braid group are discussed.
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