### Abstract

We investigate a creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field; V(φ) ∝ (-2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when a curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β^{2} > 2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well-defined.

Original language | English |
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Pages (from-to) | 219-220 |

Number of pages | 2 |

Journal | Journal of Physics: Conference Series |

Volume | 31 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2006 Mar 22 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Physics: Conference Series*,

*31*(1), 219-220. https://doi.org/10.1088/1742-6596/31/1/062

**Creation of a brane world with a bulk scalar field.** / Aoyanagi, Koh Suke; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Journal of Physics: Conference Series*, vol. 31, no. 1, pp. 219-220. https://doi.org/10.1088/1742-6596/31/1/062

}

TY - JOUR

T1 - Creation of a brane world with a bulk scalar field

AU - Aoyanagi, Koh Suke

AU - Maeda, Keiichi

PY - 2006/3/22

Y1 - 2006/3/22

N2 - We investigate a creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field; V(φ) ∝ (-2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when a curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β2 > 2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well-defined.

AB - We investigate a creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field; V(φ) ∝ (-2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when a curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if β2 > 2/3. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well-defined.

UR - http://www.scopus.com/inward/record.url?scp=33645395058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645395058&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/31/1/062

DO - 10.1088/1742-6596/31/1/062

M3 - Article

AN - SCOPUS:33645395058

VL - 31

SP - 219

EP - 220

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

ER -