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+1 → S3 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.
ASJC Scopus subject areas
- Nuclear and High Energy Physics