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arxiv: 1210.0768 · v3 · pith:KLOMH3HLnew · submitted 2012-10-02 · 🧮 math-ph · hep-th· math.MP

Bethe vectors of GL(3)-invariant integrable models

S. Belliard , S. Pakuliak , E. Ragoucy , N. A. Slavnov This is my paper
classification 🧮 math-ph hep-thmath.MP
keywords bethemodelsvectorsactionsintegrableinvariantalgebraicansatz
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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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  1. New approach to scalar products of Bethe vectors

    math-ph 2019-07 unverdicted novelty 6.0

    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.