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

Rafael I. Nepomechie; Rodrigo A. Pimenta

doi:10.1016/j.nuclphysb.2016.04.044

Nuclear Physics B (Sep 2016)

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

Rafael I. Nepomechie,
Rodrigo A. Pimenta

Affiliations

Rafael I. Nepomechie: Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 USA
Rodrigo A. Pimenta: Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 USA

DOI: https://doi.org/10.1016/j.nuclphysb.2016.04.044
Journal volume & issue: Vol. 910, no. C
pp. 885 – 909

Abstract

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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.

Published in Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: https://www.sciencedirect.com/journal/nuclear-physics-b

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