The S-Matrix of AdS/CFT and Yangian Symmetry

Abstract

We review the algebraic construction of the S-matrix of AdS/CFT. We also present its symmetry algebra which turns out to be a Yangian of the centrally extended su(2|2) superalgebra.

12 pages, contributed to the Solvay workshop "Bethe Ansatz: 75 Years Later", v2: references added, v3: wording changed, v4: factor 1/2 for Delta C hat corrected in tab 2 (thanks to F. Spill)

References in corpus (1)

• Quantum Deformations of the One-Dimensional Hubbard Model

Cited by in corpus (24)

• Lectures on Yangian Symmetry
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Classical r-matrix of the su(2|2) SYM spin-chain
• Yangians, S-matrices and AdS/CFT
• A Yangian Double for the AdS/CFT Classical r-matrix
• A Quantum Affine Algebra for the Deformed Hubbard Chain
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Yangian symmetry and bound states in AdS/CFT boundary scattering
• Yangian symmetry of the Y=0 maximal giant graviton
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Universal blocks of the AdS/CFT Scattering Matrix
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• Structure of the string R-matrix
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Nonlocal Symmetries and Factorized Scattering
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• The Yangian of sl(n|m) and the universal R-matrix
• Aspects of Integrability in N =4 SYM
• The Ising model and planar N=4 Yang-Mills
• Bound State Scattering Simplified