The supersymmetric \(t\)-\(J\) model with quantum group invariance.

DOI10.1016/0550-3213(93)90377-2zbMath1043.82530OpenAlexW2046634225MaRDI QIDQ1967375

Michael Karowski, Angela Foerster

Publication date: 5 March 2000

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

Full work available at URL: https://doi.org/10.1016/0550-3213(93)90377-2

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (39)

BOUNDARY K MATRICES AND THE LAX PAIR FOR ONE-DIMENSIONAL OPEN XYZ SPIN-CHAIN ⋮ BETHE ANSATZ SOLUTION OF THE ANISOTROPIC CORRELATED ELECTRON MODEL ASSOCIATED WITH THE TEMPERLEY–LIEB ALGEBRA ⋮ Surveying the quantum group symmetries of integrable open spin chains ⋮ Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity ⋮ Lax operator for the quantized orthosymplectic superalgebraU_q[osp(2|n)] ⋮ Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain ⋮ Representation of the boundary elliptic quantum group \(BE_{\tau,\eta}(\text{sl}_2)\) and the Bethe ansatz ⋮ Row transfer matrix functional relations for Baxter's eight-vertex and six-vertex models with open boundaries via more general reflection matrices ⋮ 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 ⋮ Integrable open-boundary conditions for the \(q\)-deformed supersymmetric \(U\) model of strongly correlated electrons ⋮ On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system ⋮ Nested algebraic Bethe ansatz for open \(GL(N)\) spin chains with projected K-matrices ⋮ Lax operator for the quantised orthosymplectic superalgebra \(U_q[\text{osp} (m|n)\)] ⋮ On the Bethe states of the one-dimensional supersymmetric \( t - J \) model with generic open boundaries ⋮ The algebraic Bethe ansatz for the Izergin-Korepin model with open boundary conditions ⋮ Properties of eigenstates of the six-vertex model with twisted and open boundary conditions ⋮ Integrable open-boundary conditions for the \(Z_n\times Z_n\) Belavin model ⋮ Heisenberg XYZ Hamiltonian with integrable impurities ⋮ 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 ⋮ Exact solution of the \(\text{SU}_{q}(n)\)-invariant quantum spin chains ⋮ Exact solution of the one-dimensional super-symmetrict–Jmodel with unparallel boundary fields ⋮ Spin excitations in the integrable open quantum group invariant supersymmetric \(t\)-\(J\) model ⋮ Integrable boundary impurities in the \(t\)-\(J\) model with different gradings ⋮ Nested Bethe ansatz for Perk-Schultz model with open boundary conditions ⋮ Heisenberg spin chains based on \(\text{sl}(2|1)\) symmetry ⋮ Coordinate Bethe ansatz for the one-dimensional SU(n) Hubbard model with open boundary conditions ⋮ Baxter's Q-operators for supersymmetric spin chains ⋮ Drinfeld constructions of the quantum affine superalgebra Uq(gl(m/n̂)) ⋮ Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model ⋮ Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry ⋮ Quantum group symmetries and completeness for $\boldsymbol {A}_{\boldsymbol {2n}}^{\boldsymbol{(2)}}$ open spin chains ⋮ Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model ⋮ Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional \(t\)-\(J\) model. ⋮ Two magnetic impurities with arbitrary spins in open boundary \(t\)-\(J\) model. ⋮ Eigenvalues of Casimir invariants for Uq[osp(m∣n)] ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Theory of nonlinear lattices
• Bethe ansatz and quantum groups: the light-cone lattice approach. I: Six vertex and SOS models
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Graded Lie algebras: Generalization of Hermitian representations
• FERMIONS AND LINK INVARIANTS
• A TEMPLATE FOR QUANTUM SPIN CHAIN SPECTRA
• Boundary conditions for integrable quantum systems

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