### Abstract

We find (N + 1)/2 distinct classes ("generations" of kink solutions in an SU(N)×Z_{2} field theory. The classes are labeled by an integer q. The members of one class of kinks will be globally stable while those of the other classes may be locally stable or unstable. The kink solutions in the q^{th} class have a continuous degeneracy given by the manifold Σ_{q}=H/K_{q}, where H is the unbroken symmetry group and K_{q}CH is the group under which the kink solution remains invariant. The space Σ_{q} is found to contain two incontractable spheres for some values of q, indicating the possible existence of certain incontractable spherical structures in three dimensions. We explicitly construct the three classes of kinks in an SU(5) model with a quartic potential and discuss the extension of these ideas to magnetic monopole solutions in the model.

Original language | English (US) |
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Article number | 105023 |

Pages (from-to) | 1050231-10502311 |

Number of pages | 9452081 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 64 |

Issue number | 10 |

State | Published - Nov 15 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

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*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*64*(10), 1050231-10502311. [105023].