GAUGING OF GEOMETRIC ACTIONS AND INTEGRABLE HIERARCHIES OF THE KP TYPE

DOI10.1142/S0217751X01003573zbMath1125.37320arXivhep-th/0009194OpenAlexW3103189725MaRDI QIDQ2747042

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Publication date: 14 October 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0009194

zbMATH Keywords

coadjoint orbitKP hierarchygeometric actionKac-Moody groupWZNW model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

\(N = 2\) multicomponent supersymmetric KP hierarchy and additional symmetries ⋮ Geometric actions for three-dimensional gravity ⋮ Berry phases on Virasoro orbits ⋮ \(D=11\) massless superparticle covariant quantization, pure spinor BRST charge and hidden symmetries

Cites Work

• Quantization of symplectic orbits of compact Lie groups by means of the functional integral
• Kac-Moody construction of Toda type field theories.
• Nonlinear Schrödinger equations and simple Lie algebras
• Lie algebras and equations of Korteweg-de Vries type
• Virasoro algebras and coset space models
• String models with \(c<1\) components
• Method of squared eigenfunction potentials in integrable hierarchies of KP type
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction
• The complete solution of the classical \(\text{SL}(2,\mathbb{R})/\text{U}(1)\) gauged WZNW field theory
• Additional symmetries for integrable equations and conformal algebra representation
• A new dual symmetry structure of the KP hierarchy.
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• Constrained KP Hierarchies: Additional Symmetries, Darboux–Bäcklund Solutions and Relations to Multi-Matrix Models
• Integrability and matrix models
• New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
• Tau-functions and dressing transformations for zero-curvature affine integrable equations
• Constrained KP models as integrable matrix hierarchies
• On three-dimensional packets of surface waves
• Dispersionful analogues of Benney's equations and N -wave systems

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