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New Combinatorial Formulae for Nested Bethe Vectors

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arxiv 2312.00980 v5 pith:JWZNKF66 submitted 2023-12-02 math.QA math-phmath.MPmath.RT

Maksim Kosmakov , Vitaly Tarasov This is my paper · ORCID
classification math.QAmath-phmath.MPmath.RT
keywords bethecombinatorialformulaemathfraknestedvectorsarbitraryarxiv
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abstract

We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian $Y(\mathfrak{gl}_4)$. The case of $Y(\mathfrak{gl}_n)$ for an arbitrary $n$ is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717].

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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. 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...

  2. Higher rank elliptic partition functions and multisymmetric elliptic functions

    math-ph 2024-12 conditional novelty 6.0 of 10

    A family of gl_{M+1} partition functions with additional boundary sites is exactly represented by new extended weight functions in rational, trigonometric, and elliptic cases.

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