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 |
|---|---|
| Pages (from-to) | 461-476 |
| Number of pages | 16 |
| Journal | Nuclear Physics B |
| Volume | 563 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1999 Dec 6 |
| Externally published | Yes |
Bibliographical note
Funding Information:The work of K.L. was supported in part by the SRC program of the SNU-CTP, the Basic Science and Research Program under BRSI-98-2418, and KOSEF 1998 Interdisciplinary Research Grant 98-07-02-07-01-5. Q-H.P. and H.J.S. were supported in part by the program of Basic Science Research, Ministry of Education 1998-015-D00073, and by Korea Science and Engineering Foundation, 97-07-02-02-01-3. K.L. acknowledge an useful discussion with Karen Uhlenbeck about the solutions of the chiral models, and K.L. and Q-H.P. thank Aspen Center for Physics (summer 1999) where this work has been completed.
Keywords
- Breather
- Complex sine-gordon model
- Duality
- Lund-regge model
- Soliton
- Vortex
ASJC Scopus subject areas
- Nuclear and High Energy Physics