Publications at the Riemann Center
From Yang–Mills in de Sitter Space to Electromagnetic Knots
Abstract
We review analytic SU(2) Yang–Mills solutions with finite action on four-dimensional de Sitter space from a new perspective, by conformally mapping dS4 to a finite Lorentzian cylinder(0,π)XS3 . As a byproduct, all abelian (i.e. Maxwell) solutions are classified by SO(4) representations. Conformal equivalence of (two copies of half of) this cylinder to Minkowski space yields a complete set of rational Maxwell solutions on the latter, which are known as electromagnetic knots. Their properties are efficiently computed on de Sitter space. We close with a couple of explicit examples.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Physics of Particles and Nuclei Letters
- Volume
- 17
- Pages
- 701-706
- No. of pages
- 6
- ISSN
- 1547-4771
- Publication date
- 09.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Radiation, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Radiology Nuclear Medicine and imaging
- Electronic version(s)
-
https://doi.org/10.1134/s1547477120050246 (Access:
Closed
)
