Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary

DOI10.1016/j.nuclphysb.2015.02.011zbMath1348.82015arXiv1412.1396OpenAlexW2095514272MaRDI QIDQ334664

N. Cirilo António, N. Manojloviä, Eric Ragoucy, Igor Salom

Publication date: 1 November 2016

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

Full work available at URL: https://arxiv.org/abs/1412.1396

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) Statistical mechanics of magnetic materials (82D40)

Related Items (7)

Rational \(so(3)\) Gaudin model with general boundary terms ⋮ Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model ⋮ Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz ⋮ Generalized \(s\ell(2)\) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models ⋮ Anisotropic BCS-Richardson model and algebraic Bethe ansatz

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic Bethe ansatz for open XXX model with triangular boundary matrices
• Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
• Separation of variables in the Gaudin model
• \(\text{sl}(2| 1)^{(2)}\) Gaudin magnet and its associated Knizhnik--Zamolodchikov equation
• Bethe ansatz for the \(XXX\)-\(S\) chain with non-diagonal open boundaries
• \(A_{n-1}\) Gaudin model with open boundaries
• Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
• Boundary conditions for integrable equations
• Integrable spin systems with long-range interactions
• Gaudin model, Bethe ansatz and critical level
• Exact solution of XXZ spin chain with unparallel boundary fields
• Exact solution of the XXX Gaudin model with generic open boundaries
• Solvable Gaudin models for higher rank symplectic algebras.
• ``\(Z_2\)-graded Gaudin models and analytical Bethe ansatz
• Algebraic Bethe ansatz for the \(XYZ\) Gaudin model
• Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-\(\frac{1}{2}\) chains with arbitrary boundary fields
• Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
• Analytical Bethe ansatz in \(\text{gl}(N)\) spin chains
• OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• Creation operators and Bethe vectors of the osp(1|2) Gaudin model
• Algebraic Bethe ansatz for the six vertex model with upper triangularK-matrices
• TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS
• COORDINATE BETHE ANSÄTZE FOR NON-DIAGONAL BOUNDARIES
• Classical Yang–Baxter equations and quantum integrable systems
• Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
• Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation
• Thesl(2|1)⁽²⁾Gaudin magnet with diagonal boundary terms
• On integrable models related to the osp(1,2) Gaudin algebra
• Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
• Boundary conditions for integrable quantum systems
• Trigonometric osp(1|2) Gaudin model
• Boundary K-matrices for the XYZ, XXZ and XXX spin chains
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

This page was built for publication: Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary