A two-level Kaluza-Klein theory |
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| Authors: | R Kerner L Nikolova V Rizov |
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| Institution: | (1) Laboratoire de Physique Théorique des Particules Elémentaires, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris, Cedex 05, France;(2) Institute for Nuclear Energy of the Bulgarian Academy of Sciences, 72 Boulevard Lenin, Sofia, Bulgaria |
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| Abstract: | Let the Lie groups G and H act on the manifold P in such a way that P fibres as a principal G-bundle over P/G and as an H-bundle over P/H. We find that every pair (  , ) where is an H-invariant connection form in P P/G and is a G-invariant connection form in PP/H corresponds uniquely to a connection form in PP/(H×G) and a cross-section of a vector bundle with base P/(H×G). |
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