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arXiv · 1506.02147

Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

J. Avan·S. Belliard·N. Grosjean·R. A. Pimenta
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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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J. Avan, S. Belliard, N. Grosjean, R. A. Pimenta. 2015-10-01. Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof. https://doi.org/10.1016/j.nuclphysb.2015.08.006

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