Kaluza-Klein Branes

Details Kaluza-Klein Branes Kaluza-Klein Branes

2001-05-21

arxiv.org/abs/hep-th/0105209v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 3 Postscript figures

Scientific paper

We examine Kaluza-Klein branes in detail. Specifically, we show that codimension four submanifolds that are stationary under a semi-free circle action may be interpreted as branes or antibranes in the Kaluza-Klein reduced space that are magnetically charged under the Kaluza-Klein field strength. We derive the equation in cohomology that is satisfied by such a brane using an explicit construction of the Thom class of the normal bundle of the brane worldvolume in the reduced space. This may be applied to both the D6-brane of Type IIA String Theory, and also to various recent constructions of magnetic branes immersed in fluxbrane backgrounds. We then go on to study the special case of monopole-antimonopole production in a five-dimensional Kaluza-Klein theory, illustrating our arguments with various concrete examples.

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