Super Lax pairs and infinite symmetries in the 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></

DOI10.1103/PhysRevLett.70.4029zbMath1050.81543arXivcond-mat/9212029OpenAlexW2076293826WikidataQ74536630 ScholiaQ74536630MaRDI QIDQ4492110

Bill Sutherland, B. Sriram Shastry

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9212029

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetry and quantum mechanics (81Q60)

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Cites Work

• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• Solutions of the Yang-Baxter equation
• Three integrable Hamiltonian systems connected with isospectral deformations
• Nonperturbative two-dimensional quantum gravity
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Exact results for a Hubbard chain with long-range hopping

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