Year: 2001
Type: article
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.
DOI: 10.1143/ptps.144.119
Author: Ctirad Klimčík
Institution: Institut de Mathématiques de Marseille
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1992600528