eprintid: 10195193
rev_number: 6
eprint_status: archive
userid: 699
dir: disk0/10/19/51/93
datestamp: 2024-07-30 10:45:20
lastmod: 2024-07-30 10:45:20
status_changed: 2024-07-30 10:45:20
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Mendizabal, Jaime
title: A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
keywords: Gauge theory, Monopoles, Moduli spaces, Hyper-Kähler geometry
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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.
date: 2024-07-16
date_type: published
publisher: Springer Science and Business Media LLC
official_url: http://dx.doi.org/10.1007/s10455-024-09954-z
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2301639
doi: 10.1007/s10455-024-09954-z
lyricists_name: Mendizabal Roche, Jaime
lyricists_id: JMEND27
actors_name: Mendizabal Roche, Jaime
actors_id: JMEND27
actors_role: owner
full_text_status: public
publication: Annals of Global Analysis and Geometry
volume: 66
number: 2
article_number: 4
citation:        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 <https://doi.org/10.1007/s10455-024-09954-z>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10195193/1/s10455-024-09954-z.pdf