## Abstract

It has been pointed out that Nielsen-Olesen vortices may be able to decay by pair production of black holes. We show that when the Abelian-Higgs model is embedded in a larger theory, the additional fields mau lead to selection rules for this process-even in the absence of fermions-due to the failure of a charge quantatization condition. We show that when there is topology change, the criterion based on the charge quantization condition supplements the usual criterion based on pi(0)(H). In particular, we find that unless 2 sin(2) theta(W) is a rational number, the thermal splitting of electroweak Z strings by magnetically neutral black holes is impossible, even though pi(0)(H)) is trivial.

Original language | English |
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Pages (from-to) | 1972-1975 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 79 |

Issue number | 11 |

Publication status | Published - 15-Sep-1997 |

## Keywords

- BLACK-HOLES
- COSMIC STRINGS
- TOPOLOGICAL DEFECTS
- ELECTROWEAK STRINGS
- SEMILOCAL STRINGS
- NO-HAIR
- BREAKING
- STABILITY
- MODEL
- FIELD