A Yangian Double for the AdS/CFT Classical r-matrix

Abstract

We express the classical r-matrix of AdS/CFT in terms of tensor products involving an infinite family of generators, which takes a form suggestive of the universal expression obtained from a Yangian double. This should provide an insight into the structure of the infinite dimensional symmetry algebra underlying the integrability of the model, and give a clue to the construction of its universal R-matrix. We derive the commutation relations under which the algebra of these new generators close.

18 pages, no figures, LaTeX. v2: references added and minor changes

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Cited by in corpus (30)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• The S-matrix of String Bound States
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• The Bound State S-Matrix for AdS5 x S5 Superstring
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• A Secret Symmetry of the AdS/CFT S-matrix
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Yangians, S-matrices and AdS/CFT
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Yangian Symmetry of String Theory on $Ad{S}_3\times S^3\times S^3\times S^1$ with Mixed 3-form Flux
• Quantum Symmetries and Marginal Deformations
• The S-matrix algebra of the AdS2 X S2 superstring
• Secret Symmetries in AdS/CFT
• 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
• Nonlocal Symmetries and Factorized Scattering
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• Aspects of Integrability in N =4 SYM
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• Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
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• Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory