First-quantized N=4 Yang-Mills

TL;DR

This paper develops a first-quantized formulation of 4D N=4 super Yang-Mills theory using superparticle actions and BRST operators, highlighting the role of projective superspace and a U(1) generator.

Contribution

It introduces simple first-class-constraint actions and BRST operators for the 4D N=4 superparticle, incorporating projective superspace and a non-central U(1) generator.

Findings

Constraints close in a super Yang-Mills background

Ghosts have super-indices similar to coordinates

Framework facilitates quantization of N=4 SYM

Abstract

We present simple first-class-constraint actions and BRST operators for the 4D N=4 superparticle. Each generation of ghosts has 2 super-indices, like the coordinates. The constraints that define projective superspace close in a super Yang-Mills background due to the presence of a (non-central) U(1) generator in the algebra.