# Gravitating p-branes

## Abstract

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model.

- Authors:

- Department of Physics, Purdue University, West Lafayette, Indiana 47907-2036 (United States)
- Department of Physics, Keio University, Hiyoshi, Yokohoma, Kanagawa, 223-8521 (Japan)
- (United States)

- Publication Date:

- OSTI Identifier:
- 21020207

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065028; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; GAUGE INVARIANCE; GRAVITATION; HIGGS BOSONS; HIGGS MODEL; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SO GROUPS; SPACE-TIME; SYMMETRY; VORTICES; YANG-MILLS THEORY

### Citation Formats

```
Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899.
```*Gravitating p-branes*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.065028.

```
Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, & Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899.
```*Gravitating p-branes*. United States. doi:10.1103/PHYSREVD.75.065028.

```
Clark, T. E., Love, S. T., Xiong, C., Nitta, Muneto, Veldhuis, T. ter, and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899. Thu .
"Gravitating p-branes". United States.
doi:10.1103/PHYSREVD.75.065028.
```

```
@article{osti_21020207,
```

title = {Gravitating p-branes},

author = {Clark, T. E. and Love, S. T. and Xiong, C. and Nitta, Muneto and Veldhuis, T. ter and Department of Physics and Astronomy, Macalester College, Saint Paul, Minnesota 55105-1899},

abstractNote = {Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SO(N) gauge symmetry and an SO(N) Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SO(N) vector massive Proca field and a non-Abelian SO(N) Yang-Mills field all coupled to gravity in d=(1+p) dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D=6 Abelian Higgs-Kibble model.},

doi = {10.1103/PHYSREVD.75.065028},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}