Derives determinant representations for scalar products of on-shell and off-shell Bethe vectors via transfer-matrix action coefficients in algebraic Bethe ansatz models with periodic and reflecting boundaries.
Bethe vectors of GL(3)-invariant integrable models
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abstract
We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. Different formulas are given for the Bethe vectors and the actions of the generators of the Yangian Y(sl(3)) on Bethe vectors are considered. These actions are relevant for the calculation of correlation functions and form factors of local operators of the underlying quantum models.
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New approach to scalar products of Bethe vectors
Derives determinant representations for scalar products of on-shell and off-shell Bethe vectors via transfer-matrix action coefficients in algebraic Bethe ansatz models with periodic and reflecting boundaries.