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

Rafael I. Nepomechie, Rodrigo A. Pimenta

Nuclear Physics B · 2016

doi:10.1016/j.nuclphysb.2016.04.044 (opens in a new tab)

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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.

Abstract licence: CC BY

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