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Actions of the monodromy matrix elements onto $\mathfrak{gl}(m|n)$-invariant Bethe vectors

Mathematical Physics 2021-12-13 v1 High Energy Physics - Theory math.MP

Abstract

Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the gl(mn)\mathfrak{gl}(m|n)-invariant quantum integrable models are calculated. These actions are used to describe recursions for the highest coefficients in the sum formula for the scalar product. For simplicity, detailed proofs are given for the gl(m)\mathfrak{gl}(m) case. The results for the supersymmetric case can be obtained similarly and are formulated without proofs.

Keywords

Cite

@article{arxiv.2005.09249,
  title  = {Actions of the monodromy matrix elements onto $\mathfrak{gl}(m|n)$-invariant Bethe vectors},
  author = {A. Hutsalyuk and A. Liashyk and S. Z. Pakuliak and E. Ragoucy and N. A. Slavnov},
  journal= {arXiv preprint arXiv:2005.09249},
  year   = {2021}
}

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28 pages