Class of exact solutions of the Faddeev model

@article{Hirayama2003ClassOE,
  title={Class of exact solutions of the Faddeev model},
  author={Minoru Hirayama and Chang-Guang Shi},
  journal={Physical Review D},
  year={2003},
  volume={69},
  pages={045001}
}
A class of exact solutions of the Faddeev model, that is, the modified $\mathrm{SO}(3)$ nonlinear $\ensuremath{\sigma}$ model with the Skyrme term, is obtained in four dimensional Minkowskian spacetime. The solutions are interpreted as the isothermal coordinates of a Riemannian surface. One special solution of the static vortex type is investigated numerically. It is also shown that the Faddeev model is equivalent to the mesonic sector of the $\mathrm{SU}(2)$ Skyrme model where the baryon… 
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