Collapse and exponentiation of infinite symmetry algebras of Euclidean projective and Grassmannian σ models

DOI10.1063/1.527941zbMath0653.35082OpenAlexW2001198969MaRDI QIDQ3799061

Michel Jacques, Guy Arsenault, Yvan Saint-Aubin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527941

zbMATH Keywords

zero entropyinstantonsymmetry algebrasstructureBorel mapcomplex Grassmannian manifoldEuclidean sigma models

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

SL(n\(+1,{\mathbb{C}})\) strata and orbits in the solution space of Euclidean \({\mathbb{C}}{\mathbb{P}}\) n models ⋮ Actions of Loop Groups on Harmonic Maps ⋮ The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations

Cites Work

• Solitons and infinite dimensional Lie algebras
• The soliton correlation matrix and the reduction problem for integrable systems
• Instanton-like solutions in chiral models
• Analyticity of solutions of the O(N) nonlinear \(\sigma\)-model
• Infinite-dimensional Lie algebras acting on the solution space of various σ models

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