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arXiv · 2201.03455

Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface

Luis Álvarez-Cónsul·Mario Garcia-Fernandez·Oscar García-Prada·Vamsi Pritham Pingali·Chengjian Yao
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Abstract

In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of the zeroes of the \emph{Higgs field} and the \emph{vortex number} $N$. In particular, we exhibit infinitely many examples of Higgs fields for which solutions cannot exist.

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Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada, Vamsi Pritham Pingali, Chengjian Yao. 2022-01-10. Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface. https://arxiv.org/abs/2201.03455

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