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solv-intAug 28, 1998
11
citations (OpenAlex)
authors
  • Jon Links
  • Angela Foerster
  • Michael Karowski
institutions
  • Freie Universität Berlin
  • The University of Queensland
arXiv abstractPDF
paper

Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry

arXiv:solv-int/9809001 · doi:10.1063/1.532701

Abstract

A quantum algebra invariant integrable closed spin 1 chain is introduced and analysed in detail. The Bethe ansatz equations as well as the energy eigenvalues of the model are obtained. The highest weight property of the Bethe vectors with respect to U_q(sl(2)) is proved.

13 pages, LaTeX, to appear in J. Math. Phys

References in corpus (2)

  • Quantum Group Invariant Supersymmetric t-J Model with periodic boundary conditions
  • A Bethe ansatz solution for the closed Uq​[sl(2)] Temperley-Lieb quantum spin chains

Cited by in corpus (8)

  • On integrable Hamiltonians for higher spin XXZ chain
  • Symmetry protected topological phases beyond groups: The q-deformed Affleck-Kennedy-Lieb-Tasaki model
  • Thermodynamics and conformal properties of XXZ chains with alternating spins
  • Integrable Hamiltonians with D(Dn​) symmetry from the Fateev-Zamolodchikov model
  • Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
  • Transfer matrix eigenvalues of the anisotropic multiparametric U model
  • [Colored solutions of Yang-Baxter equation from representations of U_{q}gl(2)]
  • Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry
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