Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra

DOI10.1007/s11005-011-0491-zzbMath1243.81183arXiv1012.4005OpenAlexW2036919032MaRDI QIDQ430060

Alessandro Torrielli

Publication date: 20 June 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4005

zbMATH Keywords

Hopf algebrasintegrabilityquantum groupsYangianssupersymmetryADS/CFTexact \(S\)-matrix

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Infinite-dimensional Lie (super)algebras (17B65) Exactly and quasi-solvable systems arising in quantum theory (81U15) (S)-matrix theory, etc. in quantum theory (81U20) Hopf algebras and their applications (16T05)

Related Items (18)

Non-local symmetries for Yang-Mills theories and their massive counterparts in two and three dimensions ⋮ The Hopf superalgebra of AdS/CFT ⋮ The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories ⋮ Higher spins and Yangian symmetries ⋮ Review of AdS/CFT integrability, chapter III.2: Exact world-sheet \(S\)-matrix ⋮ Review of AdS/CFT integrability, chapter II.3: Sigma model, gauge fixing ⋮ Review of AdS/CFT integrability, chapter IV.2: Deformations, orbifolds and open boundaries ⋮ Review of AdS/CFT integrability, chapter II.2: Quantum strings in AdS\(_{5} \times\)S\(^{5}\) ⋮ Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills ⋮ Review of AdS/CFT integrability, chapter I.3: Long-range spin chains ⋮ Integrable interpolations: From exact CFTs to non-abelian T-duals ⋮ Manifest \( {\text{SO}}\left( \mathcal{N} \right) \) invariance and \(S\)-matrices of three-dimensional \( \mathcal{N} = 2,4,8 \) SYM ⋮ Achiral boundaries and the twisted Yangian of the D5-brane ⋮ The secret symmetries of the AdS/CFT reflection matrices ⋮ Towards the quantum S-matrix of the Pohlmeyer reduced version of \(AdS_5 \times S^5\) superstring theory ⋮ Reflection algebra, Yangian symmetry and bound-states in AdS/CFT ⋮ The all-loop integrable spin-chain for strings on \(\mathrm{AdS}_3\times S^3\times T^4\): the massive sector ⋮ Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian

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