D=10 supersymmetric Yang-Mills theory at alpha'^4

TL;DR

This paper extends the supersymmetric deformation of D=10 Yang-Mills theory to order alpha'^4, incorporating higher-derivative and commutator terms to maintain supersymmetry, advancing understanding of string-inspired gauge theories.

Contribution

It introduces a consistent alpha'^4 deformation of D=10 SYM that preserves supersymmetry, including new higher-derivative and commutator terms.

Findings

Successful extension of alpha'^2 deformation to alpha'^4

Identification of necessary higher-derivative and commutator terms

Consistency with supersymmetry confirmed

Abstract

The $\alpha'^2$ deformation of D=10 SYM is the natural generalisation of the $F^4$ term in the abelian Born-Infeld theory. It is shown that this deformation can be extended to $\alpha'^4$ in a way which is consistent with supersymmetry. The latter requires the presence of higher-derivative and commutator terms as well as the symmetrised trace of the Born-Infeld $\alpha'^4$ term.