Creation of a brane world with a bulk scalar field

Koh Suke Aoyanagi; Kei Ichi Maeda

doi:10.1088/1475-7516/2006/03/012

Creation of a brane world with a bulk scalar field

Koh Suke Aoyanagi^*, Kei Ichi Maeda

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the five-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the 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
Article number	012
Journal	Journal of Cosmology and Astroparticle Physics
Issue number	3
DOIs	https://doi.org/10.1088/1475-7516/2006/03/012
Publication status	Published - 2006 Mar 1
Externally published	Yes

Keywords

Cosmological phase transitions string theory and cosmology
Cosmology with extra dimensions
Gravity

ASJC Scopus subject areas

Astronomy and Astrophysics

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10.1088/1475-7516/2006/03/012

Cite this

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AU - Maeda, Kei Ichi

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AB - We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: , where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model (β = 0) and the five-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when the 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.

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Creation of a brane world with a bulk scalar field

Abstract

Keywords

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