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

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arxiv 2109.07528 v3 pith:BDU5ENDG submitted 2021-09-15 math-ph math.MPnlin.SI

A. Liashyk , S. Z. Pakuliak This is my paper · ORCID
classification math-phmath.MPnlin.SI
keywords bethevectorsoff-shellactionintegrablemodelsrecurrencerelations
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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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Cited by 1 Pith paper

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  1. Derivations for the MPS overlap formulas of rational spin chains

    hep-th 2025-05 conditional novelty 7.0 of 10

    A universal, representation-independent MPS overlap formula is proved for glN rational spin chains and proposed for soN and spN chains.

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