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arXiv:1704.08173 · Nuclear Physics B

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

Arthur Hutsalyuk, Andrii Nikolaevich Liashyk, Stanislav Zdislavovich Pakuliak, E. Ragoucy, N. A. Slavnov

Published Aug 3, 2017• 35 citations
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Abstract

We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) 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.

DOI
10.1016/j.nuclphysb.2017.07.020

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