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Supersymmetric Born-Infeld from the Pure Spinor Formalism of the Open Superstring
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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.
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D-branes and nonlinear interactions in the $AdS$ pure spinor string
Zero-field half-BPS D-branes in the AdS5×S5 pure spinor string are organized by involutions exchanging the odd Z4 grades, and boundary BRST invariance gives DBI-like consistency equations.
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