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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.07145 |
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| _version_ | 1866915431045922816 |
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| author | Franchetti, Guido Harland, Derek |
| author_facet | Franchetti, Guido Harland, Derek |
| contents | It is well-known that the $L^2$ metric on the moduli space of hyperbolic monopoles, defined using the Coulomb gauge-fixing condition, diverges. This article shows that an alternative gauge-fixing condition inspired by supersymmetry cures this divergence. The resulting geometry is a hyperbolic analogue of the hyperkähler geometry of Euclidean monopole moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07145 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^2$ geometry of hyperbolic monopoles Franchetti, Guido Harland, Derek Differential Geometry High Energy Physics - Theory 53C07 (Primary) 53C26, 81T13, 70S15 (Secondary) It is well-known that the $L^2$ metric on the moduli space of hyperbolic monopoles, defined using the Coulomb gauge-fixing condition, diverges. This article shows that an alternative gauge-fixing condition inspired by supersymmetry cures this divergence. The resulting geometry is a hyperbolic analogue of the hyperkähler geometry of Euclidean monopole moduli spaces. |
| title | $L^2$ geometry of hyperbolic monopoles |
| topic | Differential Geometry High Energy Physics - Theory 53C07 (Primary) 53C26, 81T13, 70S15 (Secondary) |
| url | https://arxiv.org/abs/2408.07145 |