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Why scalar products in the algebraic Bethe ansatz have determinant representation

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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https://hal.archives-ouvertes.fr/hal-02290811
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Submitted on : Wednesday, September 18, 2019 - 4:34:10 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:35 PM

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S. Belliard, N.A. Slavnov. Why scalar products in the algebraic Bethe ansatz have determinant representation. JHEP, 2019, 10, pp.103. ⟨10.1007/JHEP10(2019)103⟩. ⟨hal-02290811⟩

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