Abstract
In this paper, we consider a general form of self-dual equations arising from Abelian gauge field theories coupled with the Einstein equations. By applying the super/subsolution method, we prove that topological multi-string solutions exist for any coupling constant, which improves previously known results. We provide two examples for application: the self-dual Einstein-Maxwell-Higgs model and the gravitational Maxwell gauged O(3) sigma model.
| Original language | English |
|---|---|
| Article number | 111511 |
| Journal | Journal of Mathematical Physics |
| Volume | 58 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 1 Nov 2017 |
Bibliographical note
Funding Information:This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. 2015R1D1A1A01057499). Part of this work was done while J. Han visited the Korea Institute for Advanced Study. He thanks them for their support and warm hospitality.
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