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Instanton worldlines in five-dimensional Ω-deformed gauge theory

Lambert, N.; Lipstein, A.; Mouland, R.; Richmond, P.

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N. Lambert

R. Mouland

P. Richmond


We discuss the Bosonic sector of a class of supersymmetric non-Lorentzian five-dimensional gauge field theories with an SU(1,3) conformal symmetry. These actions have a Lagrange multiplier which imposes a novel Ω-deformed anti-self-dual gauge field constraint. Using a generalised ’t Hooft ansatz we find the constraint equation linearizes allowing us to construct a wide class of explicit solutions. These include finite action configurations that describe worldlines of anti-instantons which can be created and annihilated. We also describe the dynamics on the constraint surface.


Lambert, N., Lipstein, A., Mouland, R., & Richmond, P. (2021). Instanton worldlines in five-dimensional Ω-deformed gauge theory. Journal of High Energy Physics, 2021(9), Article 086.

Journal Article Type Article
Acceptance Date Aug 22, 2021
Online Publication Date Sep 15, 2021
Publication Date 2021
Deposit Date Sep 19, 2021
Publicly Available Date Sep 21, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 9
Article Number 086


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Copyright Statement
This article is distributed under the terms of the Creative Commons<br /> Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in<br /> any medium, provided the original author(s) and source are credited.

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