Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
Mosna, Ricardo A.
arXiv, 0511038 / Harvested from arXiv
Text on arXiv
Although it is well known that the Seiberg-Witten equations do not admit nontrivial $L^2$ solutions in flat space, singular solutions to them have been previously exhibited -- either in $R^3$ or in the dimensionally reduced spaces $R^2$ and $R^1$ -- which have physical interest. In this work, we employ an extension of the Hopf fibration to obtain an iterative procedure to generate particular singular solutions to the Seiberg-Witten and Freund equations on flat space. Examples of solutions obtained by such method are presented and briefly discussed.
Publié le : 2005-11-10
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0511038,
     author = {Mosna, Ricardo A.},
     title = {Singular solutions to the Seiberg-Witten and Freund equations on flat
  space from an iterative method},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511038}
}

Mosna, Ricardo A. Singular solutions to the Seiberg-Witten and Freund equations on flat
  space from an iterative method. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511038/