Classical and quantum algebras of non-local charges in \(\sigma\) models

DOI10.1007/BF01215281zbMath0536.58013MaRDI QIDQ791945

H. J. De Vega, Harald Eichenherr, Jean-Michel Maillet

Publication date: 1984

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

zbMATH Keywords

Jacobi identityYang-Baxter equationPoisson bracketquadratic Lie algebrafactorization principle

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08)

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Cites Work

• Higher local conservation laws for nonlinear sigma models on symmetric spaces
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