The scattering matrix for a generalgl(2) spin chain

DOI10.1088/1742-5468/2009/12/P12003zbMath1456.82093arXiv0909.1520MaRDI QIDQ5220524

Nicolas Crampé, Eric Ragoucy, Samuel Belliard

Publication date: 27 March 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1520

zbMATH Keywords

integrable spin chains (vertex models)quantum integrability (Bethe ansatz)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Modified algebraic Bethe ansatz: twisted XXX case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Bethe ansatz equations and exact s matrices for the \(\text{Osp}(M|2n)\) open super-spin chain
• Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Yang-Baxter equation and representation theory. I
• Bulk and boundary \(S\)-matrices for the \(\text{SU}(N)\) chain.
• Algebraic properties of an integrable \(t\)-\(J\) model with impurities
• The \(XXX\) spin \(s\) quantum chain and the alternating \(s^1\), \(s^2\) chain with boundaries
• Spin-anisotropy commensurable chains. Quantum group symmetries and \(N=2\) SUSY
• Partition function of the eight-vertex lattice model
• Thermal and magnetic properties of integrable spin-1 and spin-³/₂chains with applications to real compounds
• Solution of the Bethe ansatz equations with complex roots for finite size: the spin S1 isotropic and anisotropic chains
• CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY
• The nested Bethe ansatz for ‘all’ closed spin chains
• Form factors of integrable Heisenberg (higher) spin chains
• The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions
• S-matrices in integrable models of isotropic magnetic chains. I
• New integrable quantum chains combining different kinds of spins
• Integrable su(3) spin chain combining different representations
• Integrability of atJmodel with impurities
• Ground-state structure and low temperature behaviour of an integrable chain with alternating spins
• Integrable Kondo impurity in one-dimensionalq-deformedt-Jmodels
• SCALAR KINKS
• BoundaryS-matrix for theXXZchain
• Complete phase diagram for the integrable chain with alternating spins in the sectors with competing interactions
• Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation
• The thermodynamical limit of generalgl(N) spin chains: the vacuum state and densities
• The thermodynamical limit of generalgl(N) spin chains: II. Excited states and energies
• ANALYTICAL BETHE ANSATZ FOR OPEN SPIN CHAINS WITH SOLITON NONPRESERVING BOUNDARY CONDITIONS
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Soliton \(S\) matrices for the critical \(A^{(1)}_{\mathcal N-1}\) chain.
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.