Normal ordering and boundary conditions for fermionic string coordinates
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We build up normal ordered products for fermionic open string coordinates consistent with boundary conditions. The results are obtained considering the presence of antisymmetric tensor fields. We find a discontinuity of the normal ordered products at string endpoints even in the absence of the background. We discuss how the energy momentum tensor also changes at the world-sheet boundary in such a way that the central charge keeps the standard value at string end points.
In this revised version we clarify the issue of consistency between supersymmetry and boundary conditions and stress the fact that we are considering flat space. we also add two more references
In this revised version we clarify the issue of consistency between supersymmetry and boundary conditions and stress the fact that we are considering flat space. we also add two more references