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Generating function for scalar products in the algebraic Bethe ansatz

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Abstract

We construct a family of determinant representations for scalar products of Bethe vectors in models with \( \mathfrak{gl} (3)\) symmetry. This family is defined by a single generating function containing arbitrary complex parameters but is independent of their specific values. Choosing these parameters in different ways, we can obtain different determinant representations.

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Funding

This research was supported by the Russian Foundation for Basic Research (Grant No. 18-01-00273a).

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  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    N. A. Slavnov

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  1. N. A. Slavnov
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Correspondence to N. A. Slavnov.

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Slavnov, N.A. Generating function for scalar products in the algebraic Bethe ansatz. Theor Math Phys 204, 1216–1226 (2020). https://doi.org/10.1134/S004057792009010X

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