The zero-curvature representation for the nonlinear \(O(3)\) sigma-model

DOI10.1007/BF02355322zbMath0907.58027arXivhep-th/9403101MaRDI QIDQ677209

Andrei G. Bytsko

Publication date: 4 September 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403101

zbMATH Keywords

Poisson bracket\(O(3)\) sigma-model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets ⋮ Flag manifold sigma models and nilpotent orbits ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ Quantum transfer-matrices for the sausage model ⋮ Sigma models as Gross-Neveu models ⋮ Deformed \(\sigma\)-models, Ricci flow and Toda field theories

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints

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