A two-level Kaluza-Klein theory

✍ Scribed by R. Kerner; L. Nikolova; V. Rizov

• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 363 KB
• Volume: 14
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402143

✦ Synopsis

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-bandle over P/H. We find that every pair (z', ~") where z' is an H-invariant connection form in P --, P/G and z" is a G-invariant connection form in P ---, P/H corresponds uniquely to a connection form in P--* P/(H x G) and a cross-section of a vector bundle with base P/(H x G).