Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
Ricardo A. Mosna
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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