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Regular version of the site

Article

Scalar products of Bethe vectors in the models with gl(m|n) symmetry

Nuclear Physics B. 2017. Vol. 923. P. 277-311.
Hutsalyuk A., Liashyk A, Pakuliak S., Ragoucy E., Slavnov N.

We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by  superalgebra. Using coproduct properties of the Bethe vectors we obtain a sum formula for their scalar products. This formula describes the scalar product in terms of a sum over partitions of Bethe parameters. We also obtain recursions for the Bethe vectors. This allows us to find recursions for the highest coefficient of the scalar product.