Existence of abelian BPS vortices on surfaces with Neumann boundary conditions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910929857282048 |
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| author | Garcia-Lara, Rene |
| author_facet | Garcia-Lara, Rene |
| contents | Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numeric solutions are constructed on the Euclidean disk, and the L^2-metric of the moduli space of one vortex located at the interior of a rotationally symmetry disk is studied. The results presented extend previous work of Manton and Zhao on quotients of surfaces that admit a reflection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04296 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of abelian BPS vortices on surfaces with Neumann boundary conditions Garcia-Lara, Rene Mathematical Physics 53Z05, 35A01, 53C21, 70S15, 35Q51 Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numeric solutions are constructed on the Euclidean disk, and the L^2-metric of the moduli space of one vortex located at the interior of a rotationally symmetry disk is studied. The results presented extend previous work of Manton and Zhao on quotients of surfaces that admit a reflection. |
| title | Existence of abelian BPS vortices on surfaces with Neumann boundary conditions |
| topic | Mathematical Physics 53Z05, 35A01, 53C21, 70S15, 35Q51 |
| url | https://arxiv.org/abs/2504.04296 |