Dynamical r-matrices and the chiral WZNW phase space

Details Dynamical r-matrices and the chiral WZNW phase space Dynamical r-matrices and the chiral WZNW phase space

2001-04-18

arxiv.org/abs/math-ph/0104027v1

Phys.Atom.Nucl. 65 (2002) 1023-1027; Yad.Fiz. 65 (2002) 1057-1061

Physics

Mathematical Physics

Talk given at XXIII International Colloquium on Group Theoretical Methods in Physics, July 31 - August 5, 2000, Dubna, Russia.

Scientific paper

10.1134/1.1490103

The dynamical generalization of the classical Yang-Baxter equation that governs the possible Poisson structures on the space of chiral WZNW fields with generic monodromy is reviewed. It is explained that for particular choices of the chiral WZNW Poisson brackets this equation reduces to the CDYB equation recently studied by Etingof--Varchenko and others. Interesting dynamical r-matrices are obtained for generic monodromy as well as by imposing Dirac constraints on the monodromy.

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