### Abstract

We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.

Original language | English |
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Pages (from-to) | 461-476 |

Number of pages | 16 |

Journal | Nuclear Physics B |

Volume | 563 |

Issue number | 1-2 |

Publication status | Published - 1999 Dec 6 |

Externally published | Yes |

### Keywords

- Breather
- Complex sine-gordon model
- Duality
- Lund-regge model
- Soliton
- Vortex

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Kimyeong, L., Park, Q. H., & Shin, H. J. (1999). Vortex string dynamics in an external antisymmetric tensor field.

*Nuclear Physics B*,*563*(1-2), 461-476.