## Abstract

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 S^{3S1} → S^{2}) to realize the next Hopf bundle S^{3S3} → S^{4}, and its extensions S^{2n+1} → ^{S3} S^{4}, and its extensions S^{2n+12n+1S3} → HP^{n}. The semilocal defects in this class of theories are classified by π_{3}S^{3}), and are interpreted as constrained instantons or generalized sphaleron configurations. We fail to find a field theoretic realization of the final Hopf bundle S^{15S7} → S^{8}, but are able to construct other semilocal spaces realizing Stiefel bundles over grassmannian spaces.

Original language | English (US) |
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Pages (from-to) | 794-804 |

Number of pages | 11 |

Journal | Nuclear Physics, Section B |

Volume | 404 |

Issue number | 3 |

DOIs | |

State | Published - Sep 6 1993 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics