TL;DR
This paper investigates the configurations of D-branes breaking on other D-branes, using effective theories and homotopy theory, revealing topologically stable broken brane configurations.
Contribution
It introduces two methods to describe D-brane breaking configurations and uncovers topologically stable solutions previously unrecognized.
Findings
Identification of topologically stable broken brane configurations
Description of configurations via tachyon bundles and solitons
Application of homotopy theory to brane stability analysis
Abstract
We analyze the possible configurations of D-branes breaking on other D-branes. We describe these configurations in the context of a brane-antibrane effective theory in two ways. First as a tachyon configuration representing a non-trivial bundle over the sphere surrounding the end of the brane a la Polchinski, and second in terms of tachyon solitons using homotopy theory. Surprisingly, in some cases there are topologically stable configurations of broken branes.
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