The Yangian of \( \mathfrak{s}\mathfrak{l}\left( {n\left| m \right.} \right) \) and its quantum R-matrices

zbMath1296.81051arXiv1008.0872MaRDI QIDQ457514

Fabian Spill, Adam Rej

Publication date: 26 September 2014

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

Full work available at URL: https://arxiv.org/abs/1008.0872

zbMATH Keywords

AdS-CFT correspondencesigma modelsintegrable field theoriesextended supersymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20) Superalgebras (17A70) Yang-Baxter equations (16T25)

Related Items (7)

On the massless modes of the \(\mathrm{AdS}_3/\mathrm{CFT}_2\) integrable systems ⋮ Conformal algebra: R-matrix and star-triangle relation ⋮ Universal \(R\)-matrix of quantum affine \(\mathfrak{gl}(1,1)\) ⋮ Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra ⋮ Nonlocal symmetries and factorized scattering ⋮ Equivalences between three presentations of orthogonal and symplectic Yangians ⋮ Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian

Cites Work

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• Defining relations for Lie superalgebras with Cartan matrix

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