Mendizabal, Jaime;
(2024)
A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking.
Annals of Global Analysis and Geometry
, 66
(2)
, Article 4. 10.1007/s10455-024-09954-z.
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Abstract
We construct the hyper-Kähler moduli space of framed monopoles over for any connected, simply connected, compact, semisimple Lie group and arbitrary mass and charge, and hence arbitrary 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.
| Type: | Article |
|---|---|
| Title: | A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10455-024-09954-z |
| Publisher version: | http://dx.doi.org/10.1007/s10455-024-09954-z |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Gauge theory, Monopoles, Moduli spaces, Hyper-Kähler geometry |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10195193 |
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