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arXiv · 1906.06897

Scalar Products in Twisted XXX Spin Chain. Determinant Representation

Samuel Belliard·Nikita A. Slavnov
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Abstract

We consider XXX spin-$1/2$ Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for the norm of on-shell Bethe vector and prove orthogonality of the on-shell vectors corresponding to the different eigenvalues of the transfer matrix.

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BibTeXRIS

Samuel Belliard, Nikita A. Slavnov. 2019-06-17. Scalar Products in Twisted XXX Spin Chain. Determinant Representation. https://doi.org/10.3842/sigma.2019.066

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