Quantum-group-invariant integrable \(n\)-state vertex models with periodic boundary conditions

DOI10.1016/0550-3213(94)90345-XzbMath0990.82513arXivhep-th/9312008MaRDI QIDQ1967414

Michael Karowski, A. Zapletal

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/9312008

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 (10)

BETHE ANSATZ SOLUTION OF THE ANISOTROPIC CORRELATED ELECTRON MODEL ASSOCIATED WITH THE TEMPERLEY–LIEB ALGEBRA ⋮ Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing ⋮ On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system ⋮ Integrable Hamiltonians withD(D_n) symmetry from the Fateev–Zamolodchikov model ⋮ A family of affine quantum group invariant integrable extensions of the Hubbard Hamiltonian ⋮ Projectors on invariant subspaces of representations \(\text{ad}^{\otimes 2}\) of Lie algebras \(so(N)\) and \(sp(2r)\) and Vogel parameterization ⋮ Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry ⋮ SYMMETRIES RELATED TO YANG–BAXTER EQUATION AND REFLECTION EQUATIONS ⋮ Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model ⋮ New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry

Cites Work

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• Virasoro algebras and coset space models
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• Boundary conditions for integrable quantum systems
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