The openXXZand associated models atqroot of unity
From MaRDI portal
Publication:5239312
DOI10.1088/1742-5468/2006/09/P09010zbMath1456.82247arXivhep-th/0603112MaRDI QIDQ5239312
Publication date: 22 October 2019
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0603112
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 (19)
Equivalences between spin models induced by defects ⋮ A representation basis for the quantum integrable spin chain associated with the \(su(3)\) algebra ⋮ A note on the boundary spin \(s\) XXZ chain ⋮ Drinfeld twists of the open XXZ chain with non-diagonal boundary terms ⋮ Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end ⋮ Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end ⋮ Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions ⋮ Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms ⋮ Off-diagonal Bethe ansatz solutions of the anisotropic spin-\(\frac{1}{2}\) chains with arbitrary boundary fields ⋮ On separation of variables for reflection algebras ⋮ The open XXZ spin chain in the SoV framework: scalar product of separate states ⋮ GeneralizedT–Qrelations and the open spin-sXXZ chain with nondiagonal boundary terms ⋮ The generalized non-linear Schrödinger model on the interval ⋮ Exact solution of the alternating XXZ spin chain with generic non-diagonal boundaries ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Scalar products of the open XYZ chain with non-diagonal boundary terms ⋮ On , , , , , , and reflectionK-matrices ⋮ A complete Bethe ansatz solution for the open spin-s XXZchain with general integrable boundary terms ⋮ An algebraic approach to discrete time integrability
Cites Work
- Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
- Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
- An integrable structure related with tridiagonal algebras
- Deformed Dolan-Grady relations in quantum integrable models
- Bethe ansatz for the \(XXX\)-\(S\) chain with non-diagonal open boundaries
- A new (in)finite-dimensional algebra for quantum integrable models
- From affine Hecke algebras to boundary symmetries
- Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)
- Irreducible representations of the quantum analogue of SU(2)
- Quantum inverse problem method. I
- Factorizing particles on a half-line and root systems
- The discrete self-trapping equation
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Quantum group symmetries and non-local currents in 2D QFT
- On the quantum inverse scattering method for the DST dimer
- The blob algebra and the periodic Temperley-Lieb algebra
- On integrable systems close to the Toda lattice
- Quantum lattice KdV equation
- Exact solution of XXZ spin chain with unparallel boundary fields
- Fused integrable lattice models with quantum impurities and open boundaries
- Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
- Bulk and boundary \(S\)-matrices for the \(\text{SU}(N)\) chain.
- The \(XXX\) spin \(s\) quantum chain and the alternating \(s^1\), \(s^2\) chain with boundaries
- Functional relations and Bethe Ansatz for the \(XXZ\) chain
- Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
- Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
- Generalized Bethe ansatz equations for Hofstadter problem
- Connections of the Liouville model and \(XXZ\) spin chain
- Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
- Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Partition function of the eight-vertex lattice model
- OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
- EXACT BETHE ANSATZ SOLUTION OF NON-ULTRALOCAL QUANTUM mKdV MODEL
- BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
- Equivalences between spin models induced by defects
- On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
- Thermodynamics of One-Dimensional Solvable Models
- On reflection algebras and twisted Yangians
- FRACTIONAL-SPIN INTEGRALS OF MOTION FOR THE BOUNDARY SINE–GORDON MODEL AT THE FREE FERMION POINT
- New solutions to the reflection equation and the projecting method
- Boundary K-matrices for the six vertex and the n(2n-1)An-1vertex models
- AnSU(2) analogue of the Azbel-Hofstadter Hamiltonian
- A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations
- Hecke algebraic approach to the reflection equation for spin chains
- Alternate quantizations of the discrete self-trapping dimer
- Quantum Bäcklund transformation for the integrable DST model
- A diagrammatic approach to Hecke algebras of the reflection equation
- Boundary conditions for integrable quantum systems
- Generalized Blob Algebras and Alcove Geometry
- Hecke algebra solutions to the reflection equation
- ON ALGEBRAIC DIAGONALIZATION OF THE XXZ CHAIN
- Boundary non-local charges from the open spin chain
- One-boundary Temperley–Lieb algebras in the XXZ and loop models
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- On the quantum inverse scattering problem.
- Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The openXXZand associated models atqroot of unity
