### Abstract

We consider a class of warped higher dimensional brane models with topology M × Σ × S^{1}/ℤ_{2}, where Σ is a D_{2} dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski M and the internal space Σ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning, provided that the internal space Σ is flat.

Original language | English |
---|---|

Pages (from-to) | 1225-1259 |

Number of pages | 35 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 8 |

Publication status | Published - 2003 Aug 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Extra Large Dimensions
- Field Theories in Higher Dimensions

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*7*(8), 1225-1259.

**Moduli stabilization in higher dimensional brane models.** / Flachi, Antonino; Garriga, Jaume; Pujolàs, Oriol; Tanaka, Takahiro.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 7, no. 8, pp. 1225-1259.

}

TY - JOUR

T1 - Moduli stabilization in higher dimensional brane models

AU - Flachi, Antonino

AU - Garriga, Jaume

AU - Pujolàs, Oriol

AU - Tanaka, Takahiro

PY - 2003/8/1

Y1 - 2003/8/1

N2 - We consider a class of warped higher dimensional brane models with topology M × Σ × S1/ℤ2, where Σ is a D2 dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski M and the internal space Σ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning, provided that the internal space Σ is flat.

AB - We consider a class of warped higher dimensional brane models with topology M × Σ × S1/ℤ2, where Σ is a D2 dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski M and the internal space Σ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning, provided that the internal space Σ is flat.

KW - Extra Large Dimensions

KW - Field Theories in Higher Dimensions

UR - http://www.scopus.com/inward/record.url?scp=23044461929&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044461929&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044461929

VL - 7

SP - 1225

EP - 1259

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

ER -