D-Sphalerons and the Topology of String Configuration Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29pp, harvmac (b),trivial typo fixed

Scientific paper

10.1088/1126-6708/2000/03/021

We show that unstable D-branes play the role of ``D-sphalerons'' in string theory. Their existence implies that the configuration space of Type II string theory has a complicated homotopy structure, similar to that of an infinite Grassmannian. In particular, the configuration space of Type IIA (IIB) string theory on $\R^{10}$ has non-trivial homotopy groups $\pi_k$ for all $k$ even (odd).

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