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

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dc.creatorMosna, Ricardo A.
dc.date2005-11-10
dc.date2006-01-19
dc.date.accessioned2026-07-07T06:50:29Z
dc.date.available2026-07-07T06:50:29Z
dc.descriptionAlthough 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.
dc.description7 pages, minor changes. To appear in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0511038
dc.identifierhttp://arxiv.org/abs/math-ph/0511038
dc.identifierJ.Math.Phys. 47 (2006) 013514
dc.identifierdoi:10.1063/1.2162823
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104682
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleSingular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
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