Off-shell Bethe vectors and Drinfeld currents

DOI10.1016/j.geomphys.2007.02.005zbMath1148.17010arXivmath/0610517OpenAlexW2074113766MaRDI QIDQ2373640

Sergey M. Khoroshkin, Vitaly O. Tarasov, Stanislav Pakuliak

Publication date: 16 July 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610517

zbMATH Keywords

quantum affine algebrasquantum integrable modules

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

• Weight function for the quantum affine algebra \(U_q(\widehat{\mathfrak sl}_{3})\)
• Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Quasi-Hopf algebras associated with \({\mathfrak sl}_2\) and complex curves.
• Weyl group extension of quantized current algebras
• Weight functions and Drinfeld currents
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• Factorization of the universal \({\mathcal R}\)-matrix for \(U_q (\widehat{sl}_2)\)
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