Integrability of the Wess_Zumino-Witten model as a non-ultralocal theory

Abstract

We consider the 2--dimensional Wess--Zumino--Witten (WZW) model in the canonical formalism introduced in a previous paper by two of us. Using an $r$--$s$ matrix approach to non--ultralocal field theories we find the Poisson algebra of monodromy matrices and of conserved quantities with a new, non--dynamical, $r$ matrix.

Revised version. 3 references added. 13 pages, latex, no figures

References in corpus (4)

• Alternative Canonical Formalism for the Wess-Zumino-Witten Model
• The Algebra of Non-Local Charges in Non-Linear Sigma Models
• Current Algebra of WZNW Models at and away from Criticality
• Algebraic Framework for Quantization of Nonultralocal Models

Cited by in corpus (11)

• Integrable Deformations of Sigma Models
• Doubling, T-Duality and Generalized Geometry: a Simple Model
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Hidden Quantum Group Structure in Einstein's General Relativity
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• A Simple Model of Double Dynamics on Lie Groups
• Boundary Lax pairs from non-ultra local Poisson algebras
• Hidden Quantum Group Symmetry in the Chiral Model
• Deformed Chern-Simons Theories
• On algebraic structures in supersymmetric principal chiral model
• On the classical Integrability of Poisson-Lie T-dual WZW models