# Scalar Products in Twisted XXX Spin Chain. Determinant Representation

@article{Belliard2019ScalarPI, title={Scalar Products in Twisted XXX Spin Chain. Determinant Representation}, author={Samuel Belliard and Nikita Andreevich Slavnov}, journal={Symmetry, Integrability and Geometry: Methods and Applications}, year={2019} }

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, 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.

## 10 Citations

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