Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy

DOI10.1016/0370-2693(93)91571-4zbMath0909.58018arXivhep-th/9305096OpenAlexW3106471945MaRDI QIDQ688246

Juan-Miguel Gracia

Publication date: 8 December 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9305096

zbMATH Keywords

Kadomtsev-Petviashvili hierarchydiscrete KdV hierarchieslattice \(W_\infty\) algebraslattice integrable systems

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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 (9)

A general method for constructing vector integrable lattice systems ⋮ Lattice conformal theories and their integrable perturbations ⋮ Lattice \(W_N\) algebra and its quantization ⋮ Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups. ⋮ Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups ⋮ Darboux transformations and recursion operators for differential-difference equations ⋮ Finite genus solution of a new (2+1) Burgers equation with a discrete variable ⋮ Lattice Virasoro from lattice Kac-Moody ⋮ Local and non-local multiplicative Poisson vertex algebras and differential-difference equations

Cites Work

• Unnamed Item
• An alternative approach to KP hierarchy in matrix models
• Affine Toda field theory and exact \(S\)-matrices
• Lattice analogues of \(W\)-algebras and classical integrable equations
• Miura transformation on a lattice

This page was built for publication: Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy