Group actions on principal bundles and invariance conditions for gauge fields

J. Harnad, S. Shnider, Luc Vinet

Research output: Contribution to journalArticlepeer-review

113 Scopus citations

Abstract

Invariance conditions for gauge fields under smooth group actions are interpreted in terms of invariant connections on principal bundles. A classification of group actions on bundles as automorphisms projecting to an action on a base manifold with a sufficiently regular orbit structure is given in terms of group homorphisms and a generalization of Wang's theorem classifying invariant connections is derived. Illustrative examples on compactified Minkowski space are given.

Original languageEnglish
Pages (from-to)2719-2724
Number of pages6
JournalJournal of Mathematical Physics
Volume21
Issue number12
DOIs
StatePublished - 1979
Externally publishedYes

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