Dynamical r matrices and chiral WZNW phase space

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Abstract

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

Original languageEnglish
Pages (from-to)1023-1027
Number of pages5
JournalPhysics of Atomic Nuclei
Volume65
Issue number6
DOIs
Publication statusPublished - Jun 1 2002

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics

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