Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
Although it is well known that the Seiberg-Witten equations do not admit nontrivial solutions in flat space, singular solutions to them have been previously exhibited -- either in or in the dimensionally reduced spaces and -- 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.
Keywords
Cite
@article{arxiv.math-ph/0511038,
title = {Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method},
author = {Ricardo A. Mosna},
journal= {arXiv preprint arXiv:math-ph/0511038},
year = {2007}
}
Comments
7 pages, minor changes. To appear in J. Math. Phys