### Abstract

A Kaluza-Klein decomposition of higher dimensional gravity is performed in the flexible brane world scenario and the properties of the extra vectors resulting from this decomposition are explored. These vectors become massive due to a gravitational Higgs mechanism in which the brane oscillation Nambu-Goldstone bosons become the longitudinal component of the vector fields. The vector mass is found to be proportional to the exponential of the vacuum expectation value of the radion (dilaton) field and as such its magnitude is model dependent. Using the structure of the embedding geometry, the couplings of these vectors to the Standard Model, including those resulting from the extrinsic curvature, are deduced. As an example, we show that for 5D space-time the geometry of the bulk-brane world, either intrinsic or extrinsic, only depends on the extra vector and the 4D graviton. The connection between the embedding geometry and coset construction by non-linear realization is also presented.

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

Pages (from-to) | 97-114 |

Number of pages | 18 |

Journal | Nuclear Physics B |

Volume | 810 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2009 Mar 21 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*810*(1-2), 97-114. https://doi.org/10.1016/j.nuclphysb.2008.10.017

**Brane vector dynamics from embedding geometry.** / Clark, T. E.; Love, S. T.; Nitta, Muneto; ter Veldhuis, T.; Xiong, Chi.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 810, no. 1-2, pp. 97-114. https://doi.org/10.1016/j.nuclphysb.2008.10.017

}

TY - JOUR

T1 - Brane vector dynamics from embedding geometry

AU - Clark, T. E.

AU - Love, S. T.

AU - Nitta, Muneto

AU - ter Veldhuis, T.

AU - Xiong, Chi

PY - 2009/3/21

Y1 - 2009/3/21

N2 - A Kaluza-Klein decomposition of higher dimensional gravity is performed in the flexible brane world scenario and the properties of the extra vectors resulting from this decomposition are explored. These vectors become massive due to a gravitational Higgs mechanism in which the brane oscillation Nambu-Goldstone bosons become the longitudinal component of the vector fields. The vector mass is found to be proportional to the exponential of the vacuum expectation value of the radion (dilaton) field and as such its magnitude is model dependent. Using the structure of the embedding geometry, the couplings of these vectors to the Standard Model, including those resulting from the extrinsic curvature, are deduced. As an example, we show that for 5D space-time the geometry of the bulk-brane world, either intrinsic or extrinsic, only depends on the extra vector and the 4D graviton. The connection between the embedding geometry and coset construction by non-linear realization is also presented.

AB - A Kaluza-Klein decomposition of higher dimensional gravity is performed in the flexible brane world scenario and the properties of the extra vectors resulting from this decomposition are explored. These vectors become massive due to a gravitational Higgs mechanism in which the brane oscillation Nambu-Goldstone bosons become the longitudinal component of the vector fields. The vector mass is found to be proportional to the exponential of the vacuum expectation value of the radion (dilaton) field and as such its magnitude is model dependent. Using the structure of the embedding geometry, the couplings of these vectors to the Standard Model, including those resulting from the extrinsic curvature, are deduced. As an example, we show that for 5D space-time the geometry of the bulk-brane world, either intrinsic or extrinsic, only depends on the extra vector and the 4D graviton. The connection between the embedding geometry and coset construction by non-linear realization is also presented.

UR - http://www.scopus.com/inward/record.url?scp=57749119365&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57749119365&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2008.10.017

DO - 10.1016/j.nuclphysb.2008.10.017

M3 - Article

AN - SCOPUS:57749119365

VL - 810

SP - 97

EP - 114

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -