Symmetries, sato theory, and tau functions

DOI10.1080/00036819508840316zbMath0843.58066OpenAlexW2044930972WikidataQ58303691 ScholiaQ58303691MaRDI QIDQ4854511

Robert W. Carroll

Publication date: 21 August 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840316

zbMATH Keywords

symmetriesSato theorytau functions\(W\) algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Remarks on dispersionless KP, KdV, and 2D gravity ⋮ \((X,\psi)\) duality and enhanced KdV on a Riemann surface ⋮ On relations between vertex operators, quasiclassical operators, and phase space coordinates ⋮ Some survey remarks on Whitham theory and Em duality

Cites Work

• Unnamed Item
• Hamiltonian structure of M. Sato's hierarchy of Kadomtsev-Petviashvili equation
• A quantum group structure in integrable conformal field theories
• Quantum field theory, Grassmannians, and algebraic curves
• Moduli spaces of curves and representation theory
• Geometric realization of conformal field theory on Riemann surfaces
• Determinant bundles and Virasoro algebras
• Toward a canonical formalism of non-perturbative two-dimensional gravity
• A matrix integral solution to two-dimensional \(W_ p\)-gravity
• Additional symmetries for integrable equations and conformal algebra representation
• Recursion operators and Hamiltonian structures in Sato's theory
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• THE LAX OPERATOR APPROACH FOR THE VIRASORO AND THE W-CONSTRAINTS IN THE GENERALIZED KdV HIERARCHY
• Integrability structures and master symmetries
• GEOMETRY AND ACTION-ANGLE VARIABLES OF MULTI SOLITON SYSTEMS
• On the structure and properties of the singularity manifold equations of the KP hierarchy
• Bi-Hamiltonian formulation of the Kadomtsev–Petviashvili and Benjamin–Ono equations
• SOLITON EQUATIONS AND THE VIRASORO ALGEBRA
• Conserved quantities and symmetries of KP hierarchy
• A theorem about Hamiltonian systems
• Symmetries and Integrability
• A trace identity and its application to integrable systems of 1 + 2 dimensions
• INTEGRABLE MODELS AND SPIN ALGEBRAS
• The geometry of the KdV equation
• POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY
• Hamiltonian theory over noncommutative rings and integrability in multidimensions
• Some remarks on symmetries, dressing, and virasoro action
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
• THE STRING DIFFERENCE EQUATION OF THE D=1 MATRIX MODEL AND W_1+∞ SYMMETRY OF THE KP HIERARCHY