Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory
High Energy Physics - Theory
2022-02-21 v1
Abstract
We discuss the Bosonic sector of a class of supersymmetric non-Lorentzian five-dimensional gauge field theories with an conformal symmetry. These actions have a Lagrange multiplier which imposes a novel -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.
Keywords
Cite
@article{arxiv.2105.02008,
title = {Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory},
author = {Neil Lambert and Arthur Lipstein and Rishi Mouland and Paul Richmond},
journal= {arXiv preprint arXiv:2105.02008},
year = {2022}
}
Comments
39 pages, 7 figures