Álvarez-Cónsul, L and Garcia-Fernandez, M and García-Prada, O and Pingali, VP and Yao, C (2023) Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface. In: Bulletin des Sciences Mathematiques, 183 .
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Official URL: https://doi.org/10.1016/j.bulsci.2023.103233
Abstract
In this note we present an obstruction to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of the zeroes of the Higgs field and the vortex number N. In particular, we exhibit infinitely many examples of Higgs fields for which solutions cannot exist. © 2023
| Item Type: | Journal Article |
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| Publication: | Bulletin des Sciences Mathematiques |
| Publisher: | Elsevier Masson s.r.l. |
| Additional Information: | The copyright of this article belongs to the Authors. |
| Keywords: | Futaki invariant; Gravitating vortices; Kahler-Yang-Mills equations; Self-dual Einstein-Maxwell-Higgs equations |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 12 Mar 2023 06:23 |
| Last Modified: | 12 Mar 2023 06:23 |
| URI: | https://eprints.iisc.ac.in/id/eprint/80962 |
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