Bethe ansatz equations and exact S matrices for the osp(M|2n) open super-spin chain

2003/10/31 by D. Arnaudon, Daniel Arnaudon, Jean Avan +7 · 37 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Boundary (topology) #Boundary value problem #Chain (unit) #Diagonal #Geometry #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Scattering #Spin (aerodynamics) #Yangian #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.1016/j.nuclphysb.2004.03.027

published in Nuclear Physics B 687(3), 257-278 (Elsevier BV) · references added

openalex publication_date 2004/04/10 · arxiv created 2004/06/11 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate the Bethe Ansatz equations for the open super spin chain based on the super Yangian of osp(M|2n) and with diagonal boundary conditions. We then study the bulk and boundary scattering of the osp(1|2n) open spin chain.

Citations

• Analytical Bethe ansatz for a A2n-1(2), Bn(1), Cn(1), Dn(1)quantum-algebra-invariant open spin chains
• Algebraic approach to q-deformed supersymmetric variants of the Hubbard model with pair hoppings
• An open-boundary integrable model of three coupled XY spin chains
• A NOTE ON THE osp(1|2s) THERMODYNAMIC BETHE ANSATZ EQUATION
• Direct calculation of the S matrix in the massive thirring model
• Boundary conditions for integrable quantum systems
• Classification of reflection matrices related to (super-)Yangians and application to open spin chain models