The symmetric KP hierarchy and affine Yangian of \(\mathfrak{gl}(1)\)

DOI10.1016/j.nuclphysb.2023.116228zbMath1523.81226MaRDI QIDQ6159647

Ke Wu, Na Wang

Publication date: 20 June 2023

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

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Schur and (q)-Schur algebras (20G43) Yang-Baxter equations (16T25) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items (1)

Symmetric universal character, integrable hierarchy, and affine Yangian of \(\mathfrak{gl}(1)\)

Cites Work

• The affine Yangian of \(\mathfrak{gl}_1\) revisited
• Vertex operators arising from Jacobi-Trudi identities
• Universal characters and an extension of the KP hierarchy
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
• 3D fermion representation of affine Yangian
• Symmetric functions and 3D fermion representation of \(W_{1+\infty}\) algebra
• 3-Jack polynomials and Yang-Baxter equation
• FROM KP/UC HIERARCHIES TO PAINLEVÉ EQUATIONS
• Integrable structure of melting crystal model with external potentials
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• Hall-Littlewood Plane Partitions and KP
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The symmetric KP hierarchy and affine Yangian of \(\mathfrak{gl}(1)\)