\(W\)-geometry of the Toda systems associated with non-exceptional simple Lie algebras

DOI10.1007/BF02099714zbMath0878.58038arXivhep-th/9312040MaRDI QIDQ1921589

Jean-Loup Gervais, Mikhail V. Saveliev

Publication date: 1 September 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312040

zbMATH Keywords

Toda systems\(W\)-geometryKähler potentials

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Infinite dimensional geometry and quantum field theory of strings. III: Infinite dimensional \(W\)-geometry of a second quantized free string, Affine Toda systems coupled to matter fields, ODE/IM correspondence and modified affine Toda field equations

Cites Work

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• Local Plücker formulas for a semisimple Lie group
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• Plücker formulae and Cartan matrices