On non-$L^2$ solutions to the Seiberg-Witten equations

Abstract

We show that a previous paper of Freund describing a solution to the Seiberg-Witten equations has a sign error rendering it a solution to a related but different set of equations. The non-$L^2$ nature of Freund's solution is discussed and clarified and we also construct a whole class of solutions to the Seiberg-Witten equations.

arXiv comment8 pages, Tex

References in corpus (2)

• Dirac Monopoles and Witten's Monopole Equations
• Liouville Vortex And ${\phi }^4$ Kink Solutions Of The Seiberg--Witten Equations

Cited by in corpus (6)

• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Dual Instantons in Anti-membranes Theory
• Magnetic Zero-Modes, Vortices and Cartan Geometry
• Singular solutions to the Seiberg-Witten and Freund equations on flat space from an iterative method
• Correlated helimagnetic configuration in a nonsymmorphic magnetic nodal semimetal
• Searching for high temperature superconductivity: From Mendeleev to Seiberg-Witten via Madelung and beyond