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Quasitriangular chiral WZW model in a nutshell
High Energy Physics - Theory · Submitted 21 Aug 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The symplectic structure of the model and its Poisson-Lie symmetry are completely characterized by two $r$-matrices with spectral parameter.
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The abstract, sentence by sentence
We give the bare-bone description of the quasitriangular chiral WZW model for the particular choice of the Lu-Weinstein-Soibelman Drinfeld double of the affine Kac-Moody group. The symplectic structure of the model and its Poisson-Lie symmetry are completely characterized by two $r$-matrices with spectral parameter. One of them is ordinary and trigonometric and characterizes the $q$-current algebra. The other is dynamical and elliptic (in fact Felder's one) and characterizes the braiding of $q$-primary fields.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We give the bare-bone description of the quasitriangular chiral WZW model for the particular choice of the Lu-Weinstein-Soibelman Drinfeld double of the affine Kac-Moody group. | contribution 1.00 | 0.89 | 0.14 | asserted 0.99 |
| s1 | The symplectic structure of the model and its Poisson-Lie symmetry are completely characterized by two $r$-matrices with spectral parameter. | result 0.91 | 0.75 | 0.46 | asserted 1.00 |
| s2 | One of them is ordinary and trigonometric and characterizes the $q$-current algebra. | result 0.93 | 0.45 | 0.12 | asserted 1.00 |
| s3 | The other is dynamical and elliptic (in fact Felder's one) and characterizes the braiding of $q$-primary fields. | result 0.90 | 0.44 | 0.19 | asserted 1.00 |
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Original abstract
We give the bare-bone description of the quasitriangular chiral WZW model for the particular choice of the Lu-Weinstein-Soibelman Drinfeld double of the affine Kac-Moody group. The symplectic structure of the model and its Poisson-Lie symmetry are completely characterized by two $r$-matrices with spectral parameter. One of them is ordinary and trigonometric and characterizes the $q$-current algebra. The other is dynamical and elliptic (in fact Felder's one) and characterizes the braiding of $q$-primary fields.
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