Generalized semilocal theories and higher Hopf maps

Mark Hindmarsh, Richard Holman, Thomas W. Kephart, Tanmay Vachaspati

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


In semilocal theories, the vacuum manifold is fibered in a non-trivial way the action of the gauge group. Here we generalize the original semilocal theory (which was based on the Hopf bundle S3S1 → S2) to realize the next Hopf bundle S3S3 → S4, and its extensions S2n+1S3 S4, and its extensions S2n+12n+1S3 → HPn. The semilocal defects in this class of theories are classified by π3S3), and are interpreted as constrained instantons or generalized sphaleron configurations. We fail to find a field theoretic realization of the final Hopf bundle S15S7 → S8, but are able to construct other semilocal spaces realizing Stiefel bundles over grassmannian spaces.

Original languageEnglish (US)
Pages (from-to)794-804
Number of pages11
JournalNuclear Physics, Section B
Issue number3
StatePublished - Sep 6 1993
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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