### Abstract

We systematically study VEVs of a gauge scalar field Σ in a bulk U(1) vector multiplet and scalar fields in brane/bulk hypermultiplets charged under U(1) in the 5D S^{1}/Z_{2} orbifold model with generic FI terms. A non-trivial VEV of Σ generates bulk mass terms for U(1) charged fields, and their zero modes have non-trivial profiles. In particular, in the SUSY-breaking case, bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial profiles are useful to explain hierarchical couplings. A toy model for SUSY breaking is studied, and it yields sizable D-term contributions to scalar masses. Because the overall magnitude of D-term contributions is the same everywhere in the bulk and also on both branes, we have to take into account these contributions and other SUSY-breaking terms to obtain a realistic description. We also give profiles and mass eigenvalues of higher modes.

Original language | English |
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Pages (from-to) | 809-830 |

Number of pages | 22 |

Journal | Progress of Theoretical Physics |

Volume | 109 |

Issue number | 5 |

Publication status | Published - 2003 May |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics*,

*109*(5), 809-830.