Explicit solutions of Grassmannian σ models

DOI10.1063/1.528147zbMath0656.70012OpenAlexW2069536705MaRDI QIDQ3804265

B. M. A. G. Piette

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528147

zbMATH Keywords

two-dimensional Grassmannian \(\sigma \) models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Classical field theories (70Sxx)

Related Items (2)

Surfaces Associated with Sigma Models ⋮ Description of surfaces associated with Grassmannian sigma models on Minkowski space

Cites Work

• A nonlinear two-dimensional sigma-model in relativistic string theory
• Bäcklund transformations and soliton-type solutions for sigma models with values in real Grassmannian spaces
• Classical solutions of two-dimensional Grassmannian models
• SL(n\(+1,{\mathbb{C}})\) strata and orbits in the solution space of Euclidean \({\mathbb{C}}{\mathbb{P}}\) n models
• Local theory of solutions for the \(0(2k+1)\sigma\)-model
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Explicit forms of Bäcklund transformations for the Grassmannian and C P N−1 sigma models
• Solutions of Minkowskian sigma models on hyperbolic complex Grassmann manifolds
• Infinite-dimensional Lie algebras acting on the solution space of various σ models
• Classical nonlinear σ models on Grassmann manifolds of compact or noncompact type
• Solutions of Euclidean σ models on noncompact Grassmann manifolds
• Gauge equivalence of sigma models with non-compact Grassmannian manifolds

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