Infinite-dimensional 3-algebra and integrable system

DOI10.1007/JHEP12(2012)030zbMath1397.81092arXiv1201.0417MaRDI QIDQ1796181

Wei-Zhong Zhao, Ke Wu, Min-Ru Chen, Shi-Kun Wang

Publication date: 16 October 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0417

zbMATH Keywords

integrable hierarchiesconformal and W symmetryintegrable equations in physics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Feynman diagrams (81T18) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (13)

A 3-Lie algebra and the dKP Hierarchy ⋮ Nontrivial central extensions of 3-Lie algebras ⋮ On Yangian covariance of the triple product system with the rational R-matrix ⋮ Exact correlators in the Gaussian Hermitian matrix model ⋮ On \(W_{1 + \infty}\) 3-algebra and integrable system ⋮ \(W_{1+\infty}3\)-algebra and the higher-order nonlinear Schrödinger equations in optical fiber ⋮ (2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮ Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ On infinite-dimensional 3-Lie algebras ⋮ On generalized Lax equation of the Lax triple of KP Hierarchy ⋮ On generalized Lax equations of the Lax triple of the BKP and CKP hierarchies ⋮ \(W_{1+\infty}\) constraints for the Hermitian one-matrix model ⋮ On \(q\)-deformed infinite-dimensional \(n\)-algebra

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