The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure

Abstract

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) $${\mathfrak{u}(2|2)}$$ 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.