The Lie-Poisson structure of integrable classical nonlinear sigma models

DOI10.1007/BF02097062zbMath0767.53053arXivhep-th/9201051OpenAlexW1970547682MaRDI QIDQ1803947

J. Laartz, Ulrich Schäper, Michael Forger, Martin Bordemann

Publication date: 29 June 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9201051

zbMATH Keywords

Poisson bracketnonlinear sigma modelstransition matricesYang-Baxter algebramonodromy matricesRiemannian symmetric spaces

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05)

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Deformation of the Poisson-Lie structure in the \(\text{SU} (2)\) WZW model, Classical \(O(N)\) nonlinear sigma model on the half line: a study on consistent Hamiltonian description, The \(r\)-matrix structure of the Euler-Calogero-Moser model, Current algebra of classical nonlinear sigma models, On algebraic structures in supersymmetric principal chiral model, Dynamical R-matrices for Calogero models, Integrated Lax formalism for principal chiral model

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• Current algebra of classical nonlinear sigma models