Integrable hierarchy underlying topological Landau-Ginzburg models of \(D\)-type

DOI10.1007/BF00749727zbMath0797.35152arXivhep-th/9305053MaRDI QIDQ1312107

Kanehisa Takasaki

Publication date: 18 October 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9305053

zbMATH Keywords

Riemann-Hilbert problemintegrable hierarchyLax formalismspecial solutions

Mathematics Subject Classification ID

Related Items (12)

On kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchy ⋮ Remarks on dispersionless KP, KdV, and 2D gravity ⋮ Dispersionless Toda hierarchy and two-dimensional string theory ⋮ R-MATRICES AND HAMILTONIAN STRUCTURES FOR CERTAIN LAX EQUATIONS ⋮ Geometry and arithmetic of integrable hierarchies of KdV type. I: Integrality ⋮ On Lax equations of the two-component BKP hierarchy ⋮ From additional symmetries to linearization of Virasoro symmetries ⋮ Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy ⋮ Generalized Drinfel'd-Sokolov hierarchies, quantum rings, and \(W\)-gravity ⋮ Topological strings with scaling violation and Toda lattice hierarchy ⋮ Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences ⋮ Bihamiltonian structure of the two-component Kadomtsev–Petviashvili hierarchy of type B

Cites Work

• Quasi-classical limit of BKP hierarchy and \(W\)-infinity symmetries
• Solitons and infinite dimensional Lie algebras
• Period mapping associated to a primitive form
• SDiff(2) Toda equation --- hierarchy, tau function, and symmetries
• The dispersionless Lax equations and topological minimal models
• TOPOLOGICAL FIELD THEORIES AND THE PERIOD INTEGRALS
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• TOPOLOGICAL CONFORMAL FIELD THEORIES AND THE FLAT COORDINATES
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