Abstract
We give a 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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