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

Ricardo A. Mosna
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Abstract

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.

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Ricardo A. Mosna. 2006-01-19. Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method. https://doi.org/10.1063/1.2162823

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