The Yangian symmetry of the Hubbard model

1993/10/23 by Denis Uglov, D. B. Uglov, V. E. Korepin · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Coupling constant #Extension (predicate logic) #Geometry #Hamiltonian (control theory) #Homogeneous space #Hubbard model #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Quantum #Quantum mechanics #Superconductivity #Symmetry (geometry) #Yangian #cond-mat #hep-th

paper · pdf · doi:10.1016/0375-9601(94)90748-x

published as Phys.Lett. A190 (1994) 238-242 · 7 pages, ITP-SB-93-66

arxiv created 1993/10/23 · openalex publication_date 1994/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discovered new hidden symmetry of the one-dimensional Hubbard model. We showthat the one-dimensional Hubbard model on the infinite chain has the infinite-dimensional algebra of symmetries. This algebra is a direct sum of two sl(2) -Yangians. This Y(sl(2)) ⊕ Y(sl(2)) symmetry is an extension of the well-known sl(2) ⊕ sl(2) . The deformation parameters of the Yangians are equal up to the signs to the coupling constant of the Hubbard model hamiltonian.

Citations

• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Supersymmetry and the nonlocal yangian deformation symmetry

Cited by

• Algebraic and analytic properties of the one-dimensional Hubbard model
• Supergroup approach to the Hubbard model
• Matrix product solutions of boundary driven quantum chains