A new approach to integrable theories in any dimension

DOI10.1016/S0550-3213(98)00400-3zbMath0953.37018arXivhep-th/9710147OpenAlexW2023718527MaRDI QIDQ1570608

J. Sánchez Guillén, Orlando Alvarez, Luiz Agostinho Ferreira

Publication date: 11 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9710147

zbMATH Keywords

conserved currentsChern-Simonszero curvature representationself-dual Yang-Mills theoryBogomolnyi equationsBF theoriestwo-dimensional integrable models

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) Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13)

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Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Multidimensional Toda-type systems
• Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions
• AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS
• Tau-functions and dressing transformations for zero-curvature affine integrable equations

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