A note on \(\mathfrak{g}{\mathfrak{l}}_2 \)-invariant Bethe vectors

DOI10.1007/JHEP04(2018)031zbMath1390.81253arXiv1802.07576OpenAlexW2952141445MaRDI QIDQ1641700

Nikita A. Slavnov, Samuel Belliard

Publication date: 19 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07576

zbMATH Keywords

quantum groupsintegrable hierarchies

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Modified algebraic Bethe ansatz: twisted XXX case ⋮ On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models ⋮ Scalar product of twisted XXX modified Bethe vectors ⋮ New compact construction of eigenstates for supersymmetric spin chains ⋮ Scalar products in twisted XXX spin chain. Determinant representation

Cites Work

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• Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
• Slavnov and Gaudin-Korepin formulas for models without \({\mathrm U}(1)\) symmetry: the twisted XXX chain
• New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains
• Bethe vectors of quantum integrable models with \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix
• Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz
• The hexagon in the mirror: the three-point function in the SoV representation
• Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof

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