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Why scalar products in the algebraic Bethe ansatz have determinant representation (1908.00032v2)
Published 31 Jul 2019 in math-ph, cond-mat.stat-mech, hep-th, and math.MP
Abstract: We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic 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 $U(1)$ symmetry.
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