### Abstract

We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

Original language | English |
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Publication status | Published - 2008 Dec 1 |

Event | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan Duration: 2008 Nov 17 → 2008 Nov 21 |

### Other

Other | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 |
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Country | Japan |

City | Higashi-Hiroshima |

Period | 08/11/17 → 08/11/21 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

*Integrability of strings with a symmetry in the minkowski spacetime*. Paper presented at 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan.