Vortex Strings and Nonabelian sine-Gordon Theories

Details Vortex Strings and Nonabelian sine-Gordon Theories Vortex Strings and Nonabelian sine-Gordon Theories

1999-07-09

arxiv.org/abs/hep-th/9907069v1

Phys.Lett. B454 (1999) 259

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/S0370-2693(99)00352-4

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.

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