1999/07/31 by J. Balog, L. Feher, L. Fehér +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1016/s0370-2693(99)00965-x
published as Phys.Lett. B463 (1999) 83-92 · 13 pages, LaTeX, minor typos corrected
openalex publication_date 1999/09/01 · arxiv created 1999/10/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The precise relationship between the arbitrary monodromy dependent 2-form appearing in the chiral WZNW symplectic form and the `exchange r-matrix' that governs the corresponding Poisson brackets is established. Generalizing earlier results related to diagonal monodromy, the exchange r-matrices are shown to satisfy a new dynamical generalization of the classical modified Yang-Baxter equation, which is found to admit an interpretation in terms of (new) Poisson-Lie groupoids. Dynamical exchange r-matrices for which right multiplication yields a classical or a Poisson-Lie symmetry on the chiral WZNW phase space are presented explicitly.