Reflection \(K\)-matrices for \(19\)-vertex models.

DOI10.1016/S0550-3213(99)00456-3zbMath1068.82513arXivsolv-int/9906003MaRDI QIDQ1572290

A. Lima-Santos

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9906003

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (28)

Spectrum of the supersymmetric \(t\)-\(J\) model with non-diagonal open boundaries ⋮ A convenient basis for the Izergin-Korepin model ⋮ Exact solution of the trigonometric \(\operatorname{SU}(3)\) spin chain with generic off-diagonal boundary reflections ⋮ Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry] ⋮ Reflection matrices for the \(U_q[sl(r|2m)^{(2)}\) vertex model] ⋮ Classification of reflection matrices related to (super-)Yangians and application to open spin chain models ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ \(C_n^{(1)}\), \(D_n^{(1)}\) and \(A_{2n-1}^{(2)}\) reflection \(K\)-matrices ⋮ An anisotropic four-component spin chain with integrable boundary terms ⋮ Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model] ⋮ New reflection matrices for theU_q(gl(m|n)) case ⋮ On the \mathcal {U}_{q}[sl(2) Temperley–Lieb reflection matrices] ⋮ Temperley–LiebK-matrices ⋮ Algebraic Bethe ansatz for 19-vertex models with upper triangularK-matrices ⋮ Integrable approach to simple exclusion processes with boundaries. Review and progress ⋮ Exact solution of the one-dimensional super-symmetrict–Jmodel with unparallel boundary fields ⋮ Integrability of the \(D^2_n\) vertex models with open boundary ⋮ D\(_{n+1}^{(2)}\) reflection K-matrices ⋮ Integrable open boundary conditions for the Bariev model of three coupled XY spin chains ⋮ Exact solution of the \(A_2^{(2)}\) model with non-diagonal boundary reflections ⋮ Bethe ansatz solution for quantum spin-1 chains with boundary terms ⋮ osp(1|2) off-shell Bethe ansatz equation with boundary terms ⋮ Integrable boundary conditions for the B ₂ model ⋮ Quantum group symmetries and completeness for $\boldsymbol {A}_{\boldsymbol {2n}}^{\boldsymbol{(2)}}$ open spin chains ⋮ On , , , , , , and reflectionK-matrices ⋮ \(A_{n-1}^{(1)}\) reflection \(K\)-matrices ⋮ Exact solution for the Bariev model with boundary fields ⋮ \(B_n^{(1)}\) and \(A_{2n}^{(2)}\) reflection \(K\)-matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Factorizing particles on a half-line and root systems
• Quantum R matrix for the generalized Toda system
• Integrable quantum systems and classical Lie algebras
• Quantum version of the method of inverse scattering problem
• Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional \(t\)-\(J\) model.
• Reflection \(K\)-matrices of the 19-vertex model and \(XXZ\) spin-1 chain with general boundary terms
• Diagonal solutions to reflection equations in higher spin models
• Integrable open spin chains with nonsymmetric R-matrices
• Algebraic structures related to reflection equations
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• Constant solutions of reflection equations and quantum groups
• Boundary conditions for integrable quantum systems
• Generalized algebraic framework for open spin chains
• Boundary K-matrices for the XYZ, XXZ and XXX spin chains

This page was built for publication: Reflection \(K\)-matrices for \(19\)-vertex models.