Matrix reduction and thesu(2∣2)superalgebra in AdS/CFT correspondence

Abstract

We study the supersymmetry generators $Q$, $S$ on the 1-loop vectorless sector of $\mathcal{N}=4$ super Yang-Mills theory, by reduction to the plane-wave matrix model. Using a coherent basis in the $\mathfrak{s}\mathfrak{u}(2\ensuremath{\mid}2)$ sector, a comparison with the algebra given by Beisert is presented, and some parameters (up to one loop) are determined. We make a final comparison of these supercharges with the results that can be obtained from the string action by working in the light-cone gauge and discretizing the string.