A solution to the non-linear equations of D=10 super Yang-Mills theory

TL;DR

This paper provides a formal recursive solution to the non-linear equations of ten-dimensional super Yang-Mills theory using multiparticle superfields derived from superstring theory, advancing the understanding of its structure.

Contribution

It introduces a recursive method to explicitly solve non-linear super Yang-Mills equations using multiparticle superfields from superstring theory.

Findings

Explicit recursive solutions for super Yang-Mills equations.

Definition of higher mass dimension superfields.

Connection to pure spinor superstring formalism.

Abstract

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in the context of superstring perturbation theory. Their explicit form follows recursively from the conformal field theory description of the gluon multiplet in the pure spinor superstring. Furthermore, superfields of higher mass dimensions are defined and their equations of motion spelled out.