Bethe vectors for orthogonal integrable models

DOI10.1134/S0040577919110023zbMath1441.81106arXiv1906.03202WikidataQ126530942 ScholiaQ126530942MaRDI QIDQ2190195

A. N. Liashyk, Nikita A. Slavnov, Eric Ragoucy, Stanislav Pakuliak

Publication date: 18 June 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03202

zbMATH Keywords

algebraic Bethe ansatzYangian doubleYangian of simple Lie algebra

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23) Yang-Baxter equations (16T25) Special quantum systems, such as solvable systems (81Q80)

Related Items (5)

Liouville reflection operator, affine Yangian and Bethe ansatz ⋮ Integrable crosscap states in \(\mathfrak{gl}(N)\) spin chains ⋮ Why scalar products in the algebraic Bethe ansatz have determinant representation ⋮ Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models ⋮ Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors

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