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

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arxiv 2005.09249 v1 pith:R5SQWEVO submitted 2020-05-19 math-ph hep-thmath.MP

A. Hutsalyuk , A. Liashyk , S. Z. Pakuliak , E. Ragoucy , N. A. Slavnov This is my paper · ORCID
classification math-phhep-thmath.MP
keywords actionsmathfrakbethecaseelementsinvariantmatrixmonodromy
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abstract

Multiple actions of the monodromy matrix elements onto off-shell Bethe vectors in the $\mathfrak{gl}(m|n)$-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 $\mathfrak{gl}(m)$ case. The results for the supersymmetric case can be obtained similarly and are formulated without proofs.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Bethe Vectors in Quantum Integrable Models with Classical Symmetries

    math-ph 2026-01 conditional novelty 6.0 of 10

    A unified RTT-based definition of off-shell Bethe vectors for gl_n, so(2n+1), sp(2n), and so(2n) integrable models, from which action formulas, recurrence relations, coproducts, and the on-shell eigenvector property a...

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