Details
| Original language | English |
|---|---|
| Pages (from-to) | 701-706 |
| Number of pages | 6 |
| Journal | Physics of Particles and Nuclei Letters |
| Volume | 17 |
| Issue number | 5 |
| Publication status | Published - Sept 2020 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Radiation
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Medicine(all)
- Radiology Nuclear Medicine and imaging
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In: Physics of Particles and Nuclei Letters, Vol. 17, No. 5, 09.2020, p. 701-706.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - From Yang–Mills in de Sitter Space to Electromagnetic Knots
AU - Lechtenfeld, O.
PY - 2020/9
Y1 - 2020/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85092194915&partnerID=8YFLogxK
U2 - 10.1134/s1547477120050246
DO - 10.1134/s1547477120050246
M3 - Article
AN - SCOPUS:85092194915
VL - 17
SP - 701
EP - 706
JO - Physics of Particles and Nuclei Letters
JF - Physics of Particles and Nuclei Letters
SN - 1547-4771
IS - 5
ER -