Nonlinear sigma models solvable by the Aratyn-Ferreira-Zimerman ansatz

Details Nonlinear sigma models solvable by the Aratyn-Ferreira-Zimerman ansatz Nonlinear sigma models solvable by the Aratyn-Ferreira-Zimerman ansatz

2001-09-07

arxiv.org/abs/hep-th/0109060v3

Phys.Rev. D65 (2002) 065008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. Two column style is changed to preprint style

Scientific paper

10.1103/PhysRevD.65.065008

Nonlinear sigma models compatible with the aratyn-Ferreira-Zimerman ansatz are discussed, the latter ansatz automatically leading to configurations with definite values of the Hopf index. These models are allowed to involve a weight factor which is a function of one of the toroidal coordinates. Depending on the choice of the weight factor, the field equation takes various forms. In one model with a special weight factor, the field equation turns out to be the fifth Painleve equation. This model suggests the existence of a knot soliton strictly confined in a finite spatial volume. Some other interesting cases are also discussed.

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