Abstract
We examine the BRS invariance of the open pure spinor superstring in the presence of background superfields on a Dp-brane. It is shown that the BRS invariance leads not only to boundary conditions on the spacetime spinors, but also to supersymmetric DBI equations of motion for the background superfields on the Dp-brane. These DBI equations are consistent with the supersymmetric DBI equations for a D9-brane.
Highlights
Dirac-Born-Infeld (DBI) theory is known as a nonlinear generalization of Maxwell theory and may describe, along with the Wess-Zumino action, the low-energy effective dynamics on a single D-brane in string theory
Instead of imposing boundary conditions, we will consider coupling to the background superfields preserving the N 1⁄4 1 supersymmetry specified by ε 1⁄4 γ1ÁÁÁpε
We have examined the BRS invariance of the open pure spinor superstring in the presence of background superfields on a Dp-brane
Summary
Dirac-Born-Infeld (DBI) theory is known as a nonlinear generalization of Maxwell theory and may describe, along with the Wess-Zumino action, the low-energy effective dynamics on a single D-brane in string theory. In this formulation, the κ-symmetry in the GS formulation is replaced with the BRS symmetry It is shown in [24], correspondingly to the κ-symmetry analysis [6], that the classical BRS invariance of an open pure spinor superstring leads to supersymmetric DBI equations of motion on a D9-brane, which have the nonlinear N 1⁄4 1 supersymmetry as well as the manifest N 1⁄4 1 supersymmetry. These equations precisely coincide with those obtained in the superembedding formalism [25]. We show that our result can be derived from improving the method used in [24] to include Dirichlet components in Appendix C
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