Boundary non-local charges from the open spin chain

DOI10.1088/1742-5468/2005/12/P12005zbMath1456.82246arXivmath-ph/0402067MaRDI QIDQ4968826

Anastasia Doikou

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/math-ph/0402067

zbMATH Keywords

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

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

Algebraic symmetry and self-duality of an open ASEP ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ The half-infinite XXZ chain in Onsager's approach ⋮ Murphy elements from the double-row transfer matrix ⋮ New reflection matrices for theU_q(gl(m|n)) case ⋮ The Temperley–Lieb algebra and its generalizations in the Potts andXXZmodels ⋮ The openXXZand associated models atqroot of unity ⋮ On , , , , , , and reflectionK-matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An integrable structure related with tridiagonal algebras
• Deformed Dolan-Grady relations in quantum integrable models
• A new (in)finite-dimensional algebra for quantum integrable models
• Factorizing particles on a half-line and root systems
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Quantum group symmetries and non-local currents in 2D QFT
• The blob algebra and the periodic Temperley-Lieb algebra
• Quantum affine reflection algebras of type \(d_n^{(1)}\) and reflection matrices
• Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• Boundary quantum group generators of type A
• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Partition function of the eight-vertex lattice model
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• Refined Razumov–Stroganov conjectures for open boundaries
• FRACTIONAL-SPIN INTEGRALS OF MOTION FOR THE BOUNDARY SINE–GORDON MODEL AT THE FREE FERMION POINT
• Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models
• Solutions of the boundary Yang Baxter equation for arbitrary spin
• Hecke algebraic approach to the reflection equation for spin chains
• The twisted XXZ chain at roots of unity revisited
• 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
• 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
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain