Symmetry of osp(m|n) Spin Calogero–Sutherland Models

DOI10.1142/S1402925110000945zbMath1378.81047arXiv0710.3485MaRDI QIDQ3060134

Kazuyuki Oshima

Publication date: 1 December 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3485

zbMATH Keywords

Calogero-Sutherland modelLie superalgebraYangian symmetryhalf-loop algebra symmetryspin generalization

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Cites Work

• New spin generalisation for long range interaction models
• Yang-Baxter equation in long-range interacting systems
• Integrable Systems with Long-Range Interactions,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Algebra, and Energy Spectrum
• Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules

This page was built for publication: Symmetry of osp(m|n) Spin Calogero–Sutherland Models