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

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.

Added footnote 3 in agreement with the comments of Schiappa and Wyllard in hep-th/0503123

References in corpus (1)

• Supersymmetric Born-Infeld from the D9-brane

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