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math-phJan 1, 2016
4
citations (OpenAlex)
authors
  • Rafael I. Nepomechie
  • Rodrigo A. Pimenta
institutions
  • Universidade Federal de São Carlos
  • University of Miami
arXiv abstractPDF
paper

Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain

arXiv:1601.04328 · doi:10.1016/j.nuclphysb.2016.04.044

Abstract

We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.

v2: 28 pages; minor revisions, published

References in corpus (8)

  • Correlation functions of the open XXZ chain I
  • Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
  • Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
  • Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof
  • Integrable anyon chains: from fusion rules to face models to effective field theories
  • Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity
  • Universal Bethe ansatz solution for the Temperley-Lieb spin chain
  • Theta function solutions of the qKZB equation for a face model

Cited by in corpus (3)

  • Universal Bethe ansatz solution for the Temperley-Lieb spin chain
  • Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions
  • On the Uq​[osp(1∣2)] Temperley-Lieb model
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