Minitwistors and 3d Yang-Mills-Higgs theory
File(s)
Published version
Author(s)
Adamo, Tim
Skinner, David
Williams, Jack
Type
Journal Article
Abstract
We construct a minitwistor action for Yang–Mills–Higgs (YMH) theory in three dimensions. The Feynman diagrams of this action will construct perturbation theory around solutions of the Bogomolny equations in much the same way that MHV (maximally helicity violating) diagrams describe perturbation theory around the self-dual Yang Mills equations in four dimensions. We also provide a new formula for all tree amplitudes in YMH theory (and its maximally supersymmetric extension) in terms of degree d maps to minitwistor space. We demonstrate its relationship to the Roiban-Spradlin-Volovich-Witten (RSVW) formula in four dimensions and show that it generates the correct MHV amplitudes at d = 1 and factorizes correctly in all channels for all degrees.
Date Issued
2018-12-01
Date Acceptance
2018-10-01
Citation
Journal of Mathematical Physics, 2018, 59 (12)
ISSN
1089-7658
Publisher
AIP Publishing
Journal / Book Title
Journal of Mathematical Physics
Volume
59
Issue
12
Copyright Statement
© 2018 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics 59, 122301 and may be found at https://dx.doi.org/10.1063/1.5030417
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000454626900020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
CONSTRUCTION
MONOPOLE
Publication Status
Published
Article Number
122301
Date Publish Online
2018-12-03