Abstract
Although it is well known that the Seiberg-Witten equations do not admit nontrivial L2 solutions in flat space, singular solutions to them have been previously exhibited—either in R3 or in the dimensionally reduced spaces R2 and R1—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.
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