Why scalar products in the algebraic Bethe ansatz have determinant representation

@article{Belliard2019WhySP,
  title={Why scalar products in the algebraic Bethe ansatz have determinant representation},
  author={Samuel Belliard and Nikita Andreevich Slavnov},
  journal={Journal of High Energy Physics},
  year={2019}
}
Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. 

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