An existence theorem for generalized Abelian Higgs equations and its application

In this note, we construct self-dual vortices and cosmic strings from the generalized Abelian Higgs theory in which the Higgs potential is a polynomial whose degree depends on the number m . When | m | > 0 , we obtain sharp existence theorems for vortices and strings corresponding to the absence...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2024-09, Vol.480 (2298)
Hauptverfasser:	Cao, Lei, Chen, Shouxin
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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