Toda lattice hierarchy and the topological description of the \(c=1\) string theory

DOI10.1016/0370-2693(94)91060-XzbMath0973.81529arXivhep-th/9404056MaRDI QIDQ1335472

Hiroaki Kanno, Tohru Eguchi

Publication date: 5 October 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9404056

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

Time-dependent backgrounds of 2D string theory ⋮ Topological field theory interpretations and LG representation of \(c=1\) string theory ⋮ An \({\hbar}\)-expansion of the Toda hierarchy ⋮ Toda lattice hierarchy and generalized string equations ⋮ Toda hierarchies and their applications ⋮ Deformations of the Bihamiltonian Structures on the Loop Space of Frobenius Manifolds ⋮ Generalized string equations for double Hurwitz numbers ⋮ Topological Landau-Ginzburg formulation and integrable structure of two-dimensional string theory. ⋮ Chiral deformations of conformal field theories ⋮ \(M\)-breather, lumps, and soliton molecules for the \((2 + 1)\)-dimensional elliptic Toda equation ⋮ Extended Toda lattice hierarchy, extended two-matrix model and \(c=1\) string theory ⋮ Extended Toda lattice hierarchy, extended two-matrix model and \(c=1\) string theory ⋮ String equation for string theory on a circle ⋮ \((1,q=-1)\) model as a topological description of \(2\)D string theory ⋮ Topological strings with scaling violation and Toda lattice hierarchy ⋮ On the \(\mathbb{C}\mathbb{P}^1\) topological sigma model and the Toda lattice hierarchy

Cites Work

• Strings in less than one dimension and the generalized KdV hierarchies
• Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries
• Two-dimensional black hole as a topological coset model of \(c=1\) string theory.
• L₋₁ CONSTRAINT IN LIOUVILLE GRAVITY

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