Free-field realizations of the W𝒜 n , N -algebra

DOI10.1080/14029251.2018.1503397zbMath1417.17024OpenAlexW2885499226MaRDI QIDQ4580379

Xiaoming Zhu, Dafeng Zuo, Kelei Tian, Yanyan Ge

Publication date: 15 August 2018

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2018.1503397

zbMATH Keywords

free-field realization\(W_{\mathcal{A}_n,N}\) algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Poisson algebras (17B63)

Cites Work

• The Frobenius-Virasoro algebra and Euler equations
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• Conformal field theory
• HOMFLY polynomial from a generalized Yang-Yang function
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• Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy
• Quantization of the Gel'fand-Dikiĭ brackets
• Infinite conformal symmetry in two-dimensional quantum field theory
• Modifying Lax equations and the second Hamiltonian structure
• Integrable evolution equations on associative algebras
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• A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
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• A simple model of the integrable Hamiltonian equation
• Lie algebras and Hamiltonian structures of multi-component Ablowitz–Kaup–Newell–Segur hierarchy

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