Light-Cone Superspace BPS Theory

TL;DR

This paper formulates the BPS bound within light-cone superspace for N=4 superYang-Mills, deriving BPS equations and demonstrating a monopole solution in the infinite momentum frame.

Contribution

It introduces a novel light-cone superspace formulation of the BPS bound and derives explicit superfield and component solutions, including the Wu-Yang monopole.

Findings

BPS bound expressed as quadratic form in supertransformations

Derivation of light-cone superspace BPS equations

Wu-Yang monopole solution in the infinite momentum frame

Abstract

The BPS bound is formulated in light-cone superspace for the N = 4 superYang-Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms are used to derive the light-cone superspace BPS equations. Finally, the superfield expressions are expanded out to component form, and the Wu-Yang Monopole boosted to the infinite momentum frame is shown to be a solution.