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Supersymmetric Non-abelian DBI Equations from Open Pure Spinor Superstring
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The BRST invariance of the open pure spinor superstring is examined in the presence of background superfields on a Dp-brane. We note that the background superfields introduced in this paper depend on boundary fermions. The BRST invariance leads to supersymmetric Dirac-Born-Infeld (DBI) equations for background superfields depending on boundary fermions as well as boundary conditions on spacetime coordinates. After quantizing boundary fermions, background superfields are promoted to non-abelian ones. As a result, we obtain the supersymmetric non-abelian DBI equations from the supersymmetric DBI equations depending on boundary fermions. It is shown that these non-abelian DBI equations reduce to the super-Yang-Mills equations in the limit alpha' -> 0. We also show the nilpotency of the BRST transformation of boundary fermions.
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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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