The master \(T\)-operator for the Gaudin model and the KP hierarchy

DOI10.1016/j.nuclphysb.2014.03.008zbMath1323.37037arXiv1306.1111OpenAlexW2020002248WikidataQ58009665 ScholiaQ58009665MaRDI QIDQ887539

Zengo Tsuboi, Anton V. Zabrodin, Alexander Alexandrov, Sébastien Leurent

Publication date: 26 October 2015

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

Full work available at URL: https://arxiv.org/abs/1306.1111

zbMATH Keywords

Calogero-Moser system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (15)

Spectrum of quantum transfer matrices via classical many-body systems ⋮ Planck constant as spectral parameter in integrable systems and KZB equations ⋮ Supersymmetric quantum spin chains and classical integrable systems ⋮ Character expansion of matrix integrals ⋮ Asymmetric six-vertex model and the classical Ruijsenaars-Schneider system of particles ⋮ Quantum Gaudin model, spin chains, and universal characters ⋮ Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars) ⋮ Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters ⋮ Action of Clifford algebra on the space of sequences of transfer operators ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system ⋮ Quantum Spin Chains and Integrable Many-Body Systems of Classical Mechanics ⋮ Classical integrability for beta-ensembles and general Fokker-Planck equations ⋮ Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary ⋮ Trigonometric version of quantum-classical duality in integrable systems ⋮ KZ-Calogero correspondence revisited

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