New insights in brane and Kaluza--Klein theory through almost product structures

Details New insights in brane and Kaluza--Klein theory through almost product structures New insights in brane and Kaluza--Klein theory through almost product structures

1998-12-18

arxiv.org/abs/hep-th/9812168v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 58 pages, 2 figures

Scientific paper

We will show that gauge theory can be described by an almost product structure, which is a certain type of endomorphism of the tangent bundle. We will recover the gauge field strength as the Nijenhuis tensor of this endomorphism. We discuss a generalization to the case of a general Kaluza-Klein theory. Furthermore, we will look at the classification of these almost product structures in the case where we have a manifold with metric, and fit the M-brane solutions into this classification scheme. In this analysis certain algebraic properties of the space of differential forms and multivectors are obtained. All analysis is global but we will give local expressions where we find it suitable.

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