On Brane-Antibrane Forces

Abstract

In this note, we will discuss two aspects of brane-antibrane forces. In one aspect, we generalize the force calculation of D0-$\bar{\mathrm{D}}$0 of Banks and Susskind to Dp-$\bar{\mathrm{D}}p$ for $1\le p\le 8$. In particular, we find that the force is also divergent for p = 1 while for the other cases ($p\ge 2$) the forces are in general finite when $Z\to 0^{+}$, where $Z=\frac{Y^2}{2{\pi }^2{\alpha }^{\prime }}-1$ with Y, the brane-antibrane separation. However, the forces are divergent for all cases when Z < 0, signalling the occurrence of open string tachyon condensation in this regime. The other deals with the puzzling static nature of the supergravity brane-antibrane configurations. We will show that the force on a brane probe due to a brane-antibrane background vanishes when the probe is placed at the location of the coincident brane-antibranes, thereby providing a direct evidence for the existence of general static brane-antibrane configuration in the supergravity approximation.

15 pages, improved discussions on results obtained, version to appear in JHEP

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