A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929450006872064 |
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| author | Mendizabal, Jaime |
| author_facet | Mendizabal, Jaime |
| contents | We construct the hyper-Kähler moduli space of framed monopoles over $\mathbb{R}^3$ for any connected, simply connected, compact, semisimple Lie group and arbitrary mass and charge, and hence symmetry breaking. In order to do so, we define a configuration space of pairs with appropriate asymptotic conditions and perform an infinite-dimensional quotient construction. We make use of the b and scattering calculuses to study the relevant differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03069 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking Mendizabal, Jaime Differential Geometry Mathematical Physics 53C07 (Primary), 53C26, 58J20 (Secondary) We construct the hyper-Kähler moduli space of framed monopoles over $\mathbb{R}^3$ for any connected, simply connected, compact, semisimple Lie group and arbitrary mass and charge, and hence symmetry breaking. In order to do so, we define a configuration space of pairs with appropriate asymptotic conditions and perform an infinite-dimensional quotient construction. We make use of the b and scattering calculuses to study the relevant differential operators. |
| title | A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking |
| topic | Differential Geometry Mathematical Physics 53C07 (Primary), 53C26, 58J20 (Secondary) |
| url | https://arxiv.org/abs/2306.03069 |