The classical r-matrix of AdS/CFT and its Lie bialgebra structure

Niklas Beisert*, Fabian Spill

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for the classical r-matrix with (deformed) u(2|2) symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry algebra. On the fundamental representation our r-matrix coincides with the classical limit of the quantum R-matrix.

Original languageEnglish
Pages (from-to)537-565
Number of pages29
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - Jan 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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