Kac-Moody groups and integrability of soliton equations

DOI10.1007/BF01241134zbMath0829.58021arXivhep-th/9311171MaRDI QIDQ1895684

Boris L. Feigin, Edward V. Frenkel'

Publication date: 22 January 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9311171

zbMATH Keywords

Kac-Moody algebrasKdV hierarchyaffine Toda equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz, Integrals of motion of the classical lattice sine-Gordon system, Geometric interpretation of the Poisson structure in affine Toda field theories., Vertex coalgebras, comodules, cocommutativity and coassociativity, The integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(\widehat{gl_N})\). II: Proof of the commutation relations, Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies, TOROIDAL LIE ALGEBRAS AND SOME DIFFERENTIAL EQUATIONS OF TODA TYPE

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