The Yangian symmetry of the Hubbard model

DOI10.1016/0375-9601(94)90748-XzbMath0959.82504arXivhep-th/9310158OpenAlexW2150246982MaRDI QIDQ5917982

Vladimir E. Korepin, Denis Uglov

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9310158

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Unnamed Item ⋮ Pseudoparticle approach to 1D integrable quantum models ⋮ The bound state S-matrix of the deformed Hubbard chain ⋮ An algebraic approach to the Hubbard model ⋮ Representations of centrally extended Lie superalgebra $\mathfrak {psl}(2|2)$psl(2|2) ⋮ Finite-difference representations of the degenerate affine Hecke algebra ⋮ Greater understanding of the hydrogen atom: RTT-integrability and Yangian symmetry ⋮ The Yangian symmetry of the Hubbard models with variable range hopping ⋮ The quantum inverse scattering method for Hubbard-like models. ⋮ Coarse-grained description of \(q\)-deformation top and t-j model

Cites Work

• Unnamed Item
• Yangians and R-matrices
• Hidden Yangians in 2D massive current algebras
• Supersymmetry and the nonlocal Yangian deformation symmetry
• Decorated star-triangle relations and exact integrability of the one-dimensional Hubbard model.
• DYNAMICAL SYMMETRIES OF MASSIVE INTEGRABLE MODELS 1: FORM FACTOR BOOTSTRAP EQUATIONS AS A SPECIAL CASE OF DEFORMED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• Yang-Baxter equation in long-range interacting systems
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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