Manton's five vortex equations from self-duality
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Contatto, F
Dunajski, M
Abstract
We demonstrate that the five vortex equations recently introduced by Manton
ariseas symmetry reductions of the anti-self-dual Yang--Mills equations in four
dimensions. In particular the Jackiw--Pi vortex and the Ambj\o rn--Olesen
vortex correspond to the gauge group
Description
Keywords
topological solitions, integrable systems, Yang-Mills theory, symmetry reductions, gauge theory, Abelian vortices
Journal Title
Journal of Physics A: Mathematical and Theoretical
Conference Name
Journal ISSN
1751-8113
1751-8121
1751-8121
Volume Title
50
Publisher
IOP Publishing
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)