Exact solution of the \(A_2^{(2)}\) model with non-diagonal boundary reflections

DOI10.1016/j.aop.2019.167994zbMath1427.82008OpenAlexW2982188972MaRDI QIDQ2281059

Junpeng Cao, Kun Hao, Tao Yang, Panpan Xue, Guang-Liang Li, Wen-Li Yang

Publication date: 19 December 2019

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2019.167994

zbMATH Keywords

Bethe ansatzlattice integrable modelsreflection equation\(T-Q\) relation

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• \(Q\)-operator and \(T\)-\(Q\) relation from the fusion hierarchy
• Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
• Exact solution of the \(XXZ\) Gaudin model with generic open boundaries
• Algebraic Bethe ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions
• The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
• Separation of variables in the open \(XXX\) chain
• Bethe ansatz for the Izergin-Korepin model
• Exact solution of XXZ spin chain with unparallel boundary fields
• The algebraic Bethe ansatz for the Izergin-Korepin model with open boundary conditions
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Reflection \(K\)-matrices for \(19\)-vertex models.
• Izergin-Korepin model with a boundary
• A convenient basis for the Izergin-Korepin model
• Boundary quantum group generators of type A
• The exact solution and the finite-size behaviour of the Osp\((1| 2)\)-invariant spin chain
• Off-diagonal Bethe Ansatz on the \textit{so}(5) spin chain
• Exact solution of the $ sp(4) $ integrable spin chain with generic boundaries
• Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
• Functional Bethe ansatz methods for the openXXXchain
• Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables
• The XXZ model with anti-periodic twisted boundary conditions
• Boundary conditions for integrable quantum systems
• Off-Diagonal Bethe Ansatz for Exactly Solvable Models
• Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof