KP and Toda tau functions in Bethe ansatz

zbMath1221.82034arXiv1003.3071MaRDI QIDQ3001085

Kanehisa Takasaki

Publication date: 31 May 2011

Full work available at URL: https://arxiv.org/abs/1003.3071

zbMATH Keywords

Bethe ansatzKP hierarchytau functionXXZ modelsix-vertex modelToda hierarchydomain wall boundary condition

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Young diagrams in an \(N \times M\) box and the KP hierarchy ⋮ Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions ⋮ The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials

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