Exact solution of the $\text{SU}_{q}(n)$-invariant quantum spin chains

DOI10.1016/0550-3213(94)90484-7zbMath1009.82503arXivhep-th/9309022OpenAlexW3104591332MaRDI QIDQ1967681

Publication date: 6 March 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9309022

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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)

Related Items (38)

Spectrum of the supersymmetric $t$-$J$ model with non-diagonal open boundaries ⋮ Surveying the quantum group symmetries of integrable open spin chains ⋮ Exact solution of the trigonometric $\operatorname{SU}(3)$ spin chain with generic off-diagonal boundary reflections ⋮ Representation of the boundary elliptic quantum group $BE_{\tau,\eta}(\text{sl}_2)$ and the Bethe ansatz ⋮ Exact diagonalization of the quantum supersymmetric SU$_{q}(n|m)$ model ⋮ The algebraic Bethe ansatz for the $\text{Osp}(2|2)$ model with open boundary conditions ⋮ Nested Bethe ansatz for the $B_N$ vertex model with open boundary conditions ⋮ $A_{n-1}$ Gaudin model with open boundaries ⋮ On the bosonization of $L$-operators for the quantum affine algebra $U_ q ({\mathfrak {sl}}_ 2)$ ⋮ Exact solution of an anisotropic J ₁–J ₂ model with the Dzyloshinsky–Moriya interactions at boundaries ⋮ The algebraic Bethe ansatz for the Izergin-Korepin model with open boundary conditions ⋮ The spectrum of quantum-group-invariant transfer matrices ⋮ Generalized coordinate Bethe ansatz for non-diagonal boundaries ⋮ Exact solution of $\mathbb{Z}_n$ Belavin model with open boundary condition ⋮ Properties of eigenstates of the six-vertex model with twisted and open boundary conditions ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute $\boldsymbol{A_2^{(2)}}$ loop models ⋮ Quantum-group-invariant integrable $n$-state vertex models with periodic boundary conditions ⋮ Integrable open-boundary conditions for the supersymmetric $t$-$J$ model. The quantum-group-invariant case ⋮ Deriving boundary $S$ matrices. ⋮ Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries ⋮ Exact solutions of the $C_n$ quantum spin chain ⋮ Diagonal solutions to reflection equations in higher spin models ⋮ Nested Bethe ansatz for Perk-Schultz model with open boundary conditions ⋮ Soliton $S$ matrices for the critical $A^{(1)}_{\mathcal N-1}$ chain. ⋮ Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry ⋮ Integrable boundary conditions for the B ₂ model ⋮ Exact solution of the $ sp(4) $ integrable spin chain with generic boundaries ⋮ Duality and quantum-algebra symmetry of the $A^{(1)}_{\mathcal N-1}$ open spin chain with diagonal boundary fields ⋮ NEW AND OLD SYMMETRIES OF INTEGRABLE SPIN CHAINS ⋮ Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices ⋮ Bulk and boundary $S$-matrices for the $\text{SU}(N)$ chain. ⋮ Two magnetic impurities with arbitrary spins in open boundary $t$-$J$ model. ⋮ Integrable supersymmetric correlated electron chain with open boundaries ⋮ On the algebraic Bethe ansatz: periodic boundary conditions ⋮ The algebraic Bethe ansatz for open vertex models ⋮ Groundstate finite-size corrections and dilogarithm identities for the twisted A1(1) , A2(1) and A2(2) models ⋮ Fusion hierarchies,T-systems andY-systems for the ${A_2^{(1)}}$ models ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

Cites Work

This page was built for publication: Exact solution of the $\text{SU}_{q}(n)$-invariant quantum spin chains

Exact solution of the \(\text{SU}_{q}(n)\)-invariant quantum spin chains