Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model

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Abstract

We briefly review the possible Poisson structures on the chiral WZNW phase space and discuss the associated Poisson-Lie groupoids. Many interesting dynamical r-matrices appear naturally in this framework. Particular attention is paid to the special cases in which these r-matrices satisfy the classical dynamical Yang-Baxter equation or its Poisson-Lie variant.

Original languageEnglish
JournalProceedings of Science
Volume8
Publication statusPublished - Jan 1 2002
Event2002 Workshop on Integrable Theories, Solitons and Duality, UNESP 2002 - Sao Paulo, Brazil
Duration: Jul 1 2002Jul 6 2002

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ASJC Scopus subject areas

  • General

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