Supersymmetric Born-Infeld from the Pure Spinor Formalism of the Open Superstring

TL;DR

This paper demonstrates that classical BRST invariance in the pure spinor formalism leads to the supersymmetric Born-Infeld equations of motion for open superstring backgrounds, including abelian and leading non-abelian terms.

Contribution

It establishes a direct link between BRST invariance and the supersymmetric Born-Infeld equations, extending the formalism to include non-abelian contributions.

Findings

BRST invariance implies supersymmetric Born-Infeld equations

Equations include all abelian and leading non-abelian terms

Formulated in N=1 D=10 superspace

Abstract

Classical BRST invariance in the pure spinor formalism for the open superstring is shown to imply the supersymmetric Born-Infeld equations of motion for the background fields. These equations are obtained by requiring that the left and right-moving BRST currents are equal on the worldsheet boundary in the presence of the background. The Born-Infeld equations are expressed in N=1 D=10 superspace and include all abelian contributions to the low-energy equations of motion, as well as the leading non-abelian contributions.