Maximally non-abelian Toda systems

DOI10.1016/S0550-3213(97)00183-1zbMath0996.37508arXivhep-th/9612081MaRDI QIDQ1355952

A. V. Razumov, Mikhail V. Saveliev

Publication date: 1 June 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9612081

zbMATH Keywords

Lie algebrapartial differential equationsToda equationsclassical semisimple Lie groupscomplex symplectic group

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (8)

Toda equations associated with loop groups of complex classical Lie groups ⋮ Lie algebraic aspects of the finite nonperiodic Toda flows ⋮ Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮ \(\mathbb Z\)-graded loop Lie algebras, loop groups, and Toda equations ⋮ \(W\)-algebras for non-abelian Toda systems ⋮ Quasideterminants ⋮ Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case ⋮ Graded Lie algebras, representation theory, integrable mappings and integrable systems

Cites Work

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• Differential geometry of Toda systems
• Non-abelian Toda theory: A completely integrable model for strings on a black hole background

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