Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
arXiv:1012.4005
Abstract
We review the study of Hopf algebras, classical and quantum R-matrices, infinite-dimensional Yangian symmetries and their representations in the context of integrability for the N=4 vs AdS5xS5 correspondence.
16 pages, see also overview article arXiv:1012.3982; v2: references to other chapters updated; v3: reference added; v4: acknowledgment added; v5: Journal version
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- The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
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- The S-matrix of String Bound States
- The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
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- Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
- Universal blocks of the AdS/CFT Scattering Matrix
- BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
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- Structure of the string R-matrix
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Cited by in corpus (6)
- Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
- Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
- Yangians, S-matrices and AdS/CFT
- Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
- Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
- Super Yangian of superstring on AdS5xS5 revisited