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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2007/06/083

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.

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