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New Combinatorial Formulae for Nested Bethe Vectors

Quantum Algebra 2025-07-23 v4 Mathematical Physics math.MP Representation Theory

Abstract

We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(gl4)Y(\mathfrak{gl}_4). The case of Y(gln)Y(\mathfrak{gl}_n) for an arbitrary nn is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717].

Keywords

Cite

@article{arxiv.2312.00980,
  title  = {New Combinatorial Formulae for Nested Bethe Vectors},
  author = {Maksim Kosmakov and Vitaly Tarasov},
  journal= {arXiv preprint arXiv:2312.00980},
  year   = {2025}
}
R2 v1 2026-06-28T13:38:57.723Z