Abstract
In this paper we derive the universal R-matrix for the Yangian (u(2|2)), which is an abstract algebraic object leading to rational solutions of the Yang-Baxter equation on representations. We find that on the fundamental representation the universal R-matrix reduces to the standard rational R-matrix , where the scalar prefactor is surprisingly simple compared to prefactors one finds e.g. for sl(n) R-matrices. This leads precisely to the S-matrix giving the Bethe Ansatz of one-loop = 4 Super Yang-Mills theory and two-loop = 6 Chern-Simons theory.
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