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arxiv: 1601.04328 · v2 · pith:P5J54BBDnew · submitted 2016-01-17 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.MP

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

classification 🧮 math-ph cond-mat.stat-mechhep-thmath.MP
keywords bethealgebraicansatzchainspin-1temperley-liebalgebraassociated
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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.

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