Oxidizing SuperYang-Mills from (N=4,d=4) to (N=1,d=10)

TL;DR

This paper reformulates four-dimensional N=4 super Yang-Mills theory into a ten-dimensional N=1 version using superspace derivatives, establishing its symmetry and invariance explicitly.

Contribution

It introduces superspace generalizations of derivatives to connect 4D N=4 and 10D N=1 super Yang-Mills theories, providing a new formulation and symmetry proof.

Findings

Successfully rewrote 4D N=4 SYM as 10D N=1 SYM in light-cone form

Constructed explicit SuperPoincare algebra for the theory

Proved invariance of the 10D action under supersymmetry

Abstract

We introduce superspace generalizations of the transverse derivatives to rewrite the four-dimensional N=4 Yang-Mills theory into the fully ten-dimensional N=1 Yang-Mills in light-cone form. The explicit SuperPoincare algebra is constructed and invariance of the ten-dimensional action is proved.