English

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

High Energy Physics - Theory 2009-11-13 v2

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.

Keywords

Cite

@article{arxiv.0706.0884,
  title  = {A Yangian Double for the AdS/CFT Classical r-matrix},
  author = {Sanefumi Moriyama and Alessandro Torrielli},
  journal= {arXiv preprint arXiv:0706.0884},
  year   = {2009}
}
R2 v1 2026-06-21T08:35:57.601Z