On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian

DOI10.1016/j.geomphys.2009.01.001zbMath1167.81415arXiv0803.3194OpenAlexW2102104571MaRDI QIDQ2270499

Alessandro Torrielli, Fabian Spill

Publication date: 28 July 2009

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

Full work available at URL: https://arxiv.org/abs/0803.3194

zbMATH Keywords

integrable systemsYangiansads/CFT correspondence

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

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• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in \(AdS_{5}\times S^{5}\)
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• Yangian double
• Intertwining operators for the central extension of the Yangian double.
• Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\)
• The classical \(r\)-matrix of AdS/CFT and its Lie bialgebra structure
• The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring
• Quantum deformations of the one-dimensional Hubbard model
• Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
• L operators and Drinfeld’s generators

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