Lie algebras, integrability, and particle physics

DOI10.1007/BF02551398zbMath1032.81016OpenAlexW2022322391MaRDI QIDQ1592125

David I. Olive

Publication date: 18 March 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551398

zbMATH Keywords

Kac-Moody algebrasconforrnal Toda field theory equationsexplicit general solutions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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
• Two-dimensional generalized Toda lattice
• Affine Toda field theory and exact \(S\)-matrices
• Solitons and the energy-momentum tensor for affine Toda theory.
• Crossing and antisolitons in affine Toda theories.
• Affine Toda solitons and vertex operators.
• On a solitonic specialisation for the general solutions of some two-dimensional completely integrable systems
• Unnamed Item

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