Quasitriangular chiral WZW model in a nutshell

Details Quasitriangular chiral WZW model in a nutshell Quasitriangular chiral WZW model in a nutshell

2001-08-21

arxiv.org/abs/hep-th/0108148v1

Prog.Theor.Phys.Suppl.144:119-124,2001

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, to appear in the Proceedings of the Yokohama meeting on String theory and noncommutative geometry (March 2001)

Scientific paper

10.1143/PTPS.144.119

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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