Scalar products in models with $GL(3)$ trigonometric $R$-matrix. General case

Abstract

We study quantum integrable models with $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obtain an explicit representation for them in terms of a sum with respect to partitions of Bethe parameters. This representation generalizes known formula for the scalar products in the models with $GL(3)$-invariant $R$-matrix.

23 pages

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• Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient

Cited by in corpus (6)

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• Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation
• Scalar products and norm of Bethe vectors for integrable models based on $U_q({\widehat{\mathfrak{gl}}}_n)$
• Nested Algebraic Bethe Ansatz in integrable models: recent results