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Determinant Representations for Scalar Products in the Algebraic Bethe Ansatz

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Abstract

We study integrable models with gl(2|1) symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary on-shell Bethe vectors. The obtained representation leads to a new formula for the scalar products in models with gl(2) symmetry.

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

    N. A. Slavnov

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Correspondence to N. A. Slavnov.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 3, pp. 435–443, December, 2018.

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Slavnov, N.A. Determinant Representations for Scalar Products in the Algebraic Bethe Ansatz. Theor Math Phys 197, 1771–1778 (2018). https://doi.org/10.1134/S0040577918120073

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