Some geometrical aspects of reduction chiral models

DOI10.1007/BF02285315zbMath0477.58039OpenAlexW2035873599WikidataQ125627617 ScholiaQ125627617MaRDI QIDQ1160976

B. A. Putko

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02285315

zbMATH Keywords

gauge fieldschiral field equationsimbedding in a chiral manifoldLax representation for the system of constraintsreduction of nonlinear G-invariant sigma-modelssystem of constraints on the Riemannian metric of the Lund-Regge surfacetwo-dimensional surface in the chiral manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Quantum field theory; related classical field theories (81T99) Applications of global differential geometry to the sciences (53C80) Applications of PDEs on manifolds (58J90) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Cites Work

• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• Reduction of two-dimensional \(G\)-invariant \(\sigma\)-models
• Integrable Hamiltonian systems and interactions through quadratic constraints

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