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arXiv · 2109.07528

Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

A. Liashyk·S. Z. Pakuliak
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Abstract

The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with $U_q(\mathfrak{gl}_N)$-invariant $R$-matrices. The action formulas allow to get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

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A. Liashyk, S. Z. Pakuliak. 2022-01-25. Recurrence relations for off-shell Bethe vectors in trigonometric integrable models. https://doi.org/10.1088/1751-8121%2Fac491b

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