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Instanton worldlines in five-dimensional Ω-deformed gauge theory

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


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.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:22 August 2021
Date deposited:21 September 2021
Date of first online publication:15 September 2021
Date first made open access:21 September 2021

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