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arXiv · hep-th/0108148

Quasitriangular chiral WZW model in a nutshell

C. Klimcik
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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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C. Klimcik. 2001-08-21. Quasitriangular chiral WZW model in a nutshell. https://doi.org/10.1143/ptps.144.119

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