New Combinatorial Formulae for Nested Bethe Vectors

We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(₄). The case of Y(ₙ) for an arbitrary n is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717].

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Kosmakov, Maksim, Tarasov, Vitaly
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/213516
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:New Combinatorial Formulae for Nested Bethe Vectors. Maksim Kosmakov and Vitaly Tarasov. SIGMA 21 (2025), 060, 28 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine