yang–mills instantons in kähler spaces with one holomorphic isometry
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ID: 252281
2018
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Abstract
We consider self-dual Yang–Mills instantons in 4-dimensional Kähler spaces with one holomorphic isometry and show that they satisfy a generalization of the Bogomol'nyi equation for magnetic monopoles on certain 3-dimensional metrics. We then search for solutions of this equation in 3-dimensional metrics foliated by 2-dimensional spheres, hyperboloids or planes in the case in which the gauge group coincides with the isometry group of the metric (SO(3), SO(1,2) and ISO(2), respectively). Using a generalized hedgehog ansatz the Bogomol'nyi equations reduce to a simple differential equation in the radial variable which admits a universal solution and, in some cases, a particular one, from which one finally recovers instanton solutions in the original Kähler space. We work out completely a few explicit examples for some Kähler spaces of interest.
| Reference Key |
chimento2018physicsyangmills
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|---|---|
| Authors | ;Samuele Chimento;Tomás Ortín;Alejandro Ruipérez |
| Journal | ACS chemical biology |
| Year | 2018 |
| DOI |
10.1016/j.physletb.2018.01.046
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