Weakly Coupled N = 4 Super Yang-mills and N = 6 Chern-simons Theories from U(2|2) Yangian Symmetry

@inproceedings{SpillWeaklyCN,
title={Weakly Coupled N = 4 Super Yang-mills and N = 6 Chern-simons Theories from U(2|2) Yangian Symmetry},
author={Fabian Spill}
}

In this paper we derive the universal R-matrix for the Yangian Y(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 R = R 0 1 + 1 u P , 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… CONTINUE READING