Young diagrams in an \(N \times M\) box and the KP hierarchy

DOI10.1016/j.nuclphysb.2018.10.019zbMath1402.37080OpenAlexW2898355435MaRDI QIDQ1626468

Na Wang

Publication date: 27 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2018.10.019

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) Applications of group representations to physics and other areas of science (20C35)

Related Items

Affine Yangian and 3-Schur functions ⋮ Plethystic B-type KP and universal character hierarchies ⋮ 3D boson representation of affine Yangian of gl(1) and 3D cut-and-join operators ⋮ The generalization of strong anisotropic XXZ model and UC hierarchy ⋮ 3-Jack polynomials and Yang-Baxter equation ⋮ 3D bosons, 3-Jack polynomials and affine Yangian of \(\mathfrak{gl}(1) \) ⋮ 3D bosons and \(W_{1+ \infty}\) algebra ⋮ 3D fermions and affine Yangian ⋮ Affine Yangian and Schur functions on plane partitions of 4

Cites Work

• Deformed boson-fermion correspondence, \(Q\)-bosons, and topological strings on the conifold
• Solitons and infinite dimensional Lie algebras
• Quantum inverse scattering method for the \(q\)-boson model and symmetric functions
• Universal characters and an extension of the KP hierarchy
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• XXZ scalar products and KP
• KP and Toda tau functions in Bethe ansatz
• The correlation functions of the $XXZ$ Heisenberg chain in the case of zero or infinite anisotropy, and random walks of vicious walkers
• Phase model expectation values and the 2-Toda hierarchy
• Boxed plane partitions as an exactly solvable boson model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Young diagrams in an \(N \times M\) box and the KP hierarchy