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Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof (1506.02147v2)
Published 6 Jun 2015 in math-ph and math.MP
Abstract: In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin-$\frac12$ chain on the segment with two generic integrable boundaries acting on the Bethe vector. The essential step is to prove that the expression of the action of a modified creation operator on the Bethe vector has an off-shell structure which results in an inhomogeneous term in the eigenvalues and Bethe equations of the corresponding transfer matrix.
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