TY - JOUR

T1 - Vortex strings and nonabelian sine-Gordon theories

AU - Park, Q. Han

AU - Shin, H. J.

N1 - Funding Information:
We are grateful to K. Lee for many helpful discussions. This work was 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.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000764985&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(99)00352-4

DO - 10.1016/S0370-2693(99)00352-4

M3 - Article

AN - SCOPUS:0000764985

VL - 454

SP - 259

EP - 264

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

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

SN - 0370-2693

IS - 3-4

ER -