A modified melting crystal model and the Ablowitz–Ladik hierarchy

DOI10.1088/1751-8113/46/24/245202zbMath1269.82014arXiv1302.6129OpenAlexW3088043795MaRDI QIDQ2839464

Kanehisa Takasaki

Publication date: 11 July 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6129

zbMATH Keywords

Fock spaceLax operatorsintegrable structuretopological string theoryAblowitz-Ladik hierarchyToda hierarchymelting crystal model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of crystals (82D25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Infinite-dimensional Lie (super)algebras (17B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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