Deformation of the Poisson-Lie structure in the \(\text{SU} (2)\) WZW model

DOI10.1007/BF00943275zbMath0846.17015MaRDI QIDQ1912346

Z. Lipiński

Publication date: 25 September 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hopf algebraLie bialgebraWZW modelloop-extended affine Kac-Moody algebranonlinear Poisson structurenonultralocal theories

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• Non-Abelian bosonization in two dimensions
• Infinite dimensional Lie algebras. An introduction
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Loop group-valued CS and WZNW models, integrable systems, and self-dual Yang-Mills theory
• The Lie-Poisson structure of integrable classical nonlinear sigma models
• INTRODUCTION TO THE YANG-BAXTER EQUATION