### Abstract

We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified with a nonabelian sine-Gordon equation and its integrability is proven by finding the associated linear equations of the inverse scattering. An explicit expression of vortex coordinates in terms of the variables of the nonabelian sine-Gordon system is derived. In particular, we obtain the n-dimensional vortex soliton solution of the Hasimoto-type from the one soliton solution of the nonabelian sine-Gordon equation.

Original language | English |
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Pages (from-to) | 259-264 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 454 |

Issue number | 3-4 |

Publication status | Published - 1999 Dec 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Park, Q. H., & Shin, H. J. (1999). Vortex strings and nonabelian sine-Gordon theories.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*454*(3-4), 259-264.