Matrix Reduction and the su(2|2) superalgebra in AdS/CFT

TL;DR

This paper investigates the supersymmetry algebra in N=4 Super Yang-Mills theory by reducing to a matrix model, comparing algebraic structures, and relating findings to string theory in the light-cone gauge.

Contribution

It provides a detailed analysis of the su(2|2) superalgebra in the context of AdS/CFT, including parameter determination and comparison with string theory results.

Findings

Determined parameters of the superalgebra at one-loop

Compared algebraic structures with Beisert's formulation

Linked supercharges to string action in light-cone gauge

Abstract

We study the supersymmetry generators Q, S on the 1-loop vectorless sector of N=4 Super Yang-Mills, by reduction to the plane-wave matrix model. Using a coherent basis in the su(2|2) sector, a comparison with the algebra given by Beisert in nlin/0610017 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.