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

Published 17 Jan 2016 in math-ph, cond-mat.stat-mech, hep-th, and math.MP | (1601.04328v2)

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.

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