Group actions on principal bundles and dimensional reduction

J. Harnad, S. Shnider, J. Tafel

Research output: Contribution to journalArticlepeer-review

77 Scopus citations


Using the invariant geometrical interpretation of gauge and Higgs fields, a simple derivation is given of the dimensional reduction procedure. The underlying assumption with regard to the Riemannian structure, group orbits and invariant connection are clarified and the critical points of the Higgs potential are shown to have a natural geometrical interpretation.

Original languageEnglish
Pages (from-to)107-113
Number of pages7
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Mar 1980
Externally publishedYes


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