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arXiv · 0706.0884

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

Sanefumi Moriyama·Alessandro Torrielli
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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.

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Sanefumi Moriyama, Alessandro Torrielli. 2007-06-14. A Yangian Double for the AdS/CFT Classical r-matrix. https://doi.org/10.1088/1126-6708%2F2007%2F06%2F083

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