Loading [MathJax]/extensions/tex2jax.js

Electromagnetic knots from de Sitter space

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschung

Details

OriginalspracheEnglisch
Titel des SammelwerksProceedings of RDP online workshop "Recent Advances in Mathematical Physics"
UntertitelPoS(Regio2020)
PublikationsstatusVeröffentlicht - 23 Apr. 2021
Veranstaltung2020 RDP Online Workshop "Recent Advances in Mathematical Physics" - Virtual, Online
Dauer: 5 Dez. 20206 Dez. 2020

Publikationsreihe

NameProceedings of Science
Herausgeber (Verlag)Sissa Medialab Srl
Band394

Abstract

We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].

ASJC Scopus Sachgebiete

Zitieren

Electromagnetic knots from de Sitter space. / Lechtenfeld, Olaf.
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020). 2021. (Proceedings of Science; Band 394).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschung

Lechtenfeld, O 2021, Electromagnetic knots from de Sitter space. in Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020). Proceedings of Science, Bd. 394, 2020 RDP Online Workshop "Recent Advances in Mathematical Physics", Virtual, Online, 5 Dez. 2020. https://doi.org/10.22323/1.394.0011
Lechtenfeld, O. (2021). Electromagnetic knots from de Sitter space. In Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020) (Proceedings of Science; Band 394). https://doi.org/10.22323/1.394.0011
Lechtenfeld O. Electromagnetic knots from de Sitter space. in Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020). 2021. (Proceedings of Science). doi: 10.22323/1.394.0011
Lechtenfeld, Olaf. / Electromagnetic knots from de Sitter space. Proceedings of RDP online workshop "Recent Advances in Mathematical Physics": PoS(Regio2020). 2021. (Proceedings of Science).
Download
@inbook{f4c0c3cbdf9e4e7d88ad50dfaf914b0b,
title = "Electromagnetic knots from de Sitter space",
abstract = "We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].",
author = "Olaf Lechtenfeld",
year = "2021",
month = apr,
day = "23",
doi = "10.22323/1.394.0011",
language = "English",
series = "Proceedings of Science",
publisher = "Sissa Medialab Srl",
booktitle = "Proceedings of RDP online workshop {"}Recent Advances in Mathematical Physics{"}",
note = "2020 RDP Online Workshop {"}Recent Advances in Mathematical Physics{"}, Regio 2020 ; Conference date: 05-12-2020 Through 06-12-2020",

}

Download

TY - CHAP

T1 - Electromagnetic knots from de Sitter space

AU - Lechtenfeld, Olaf

PY - 2021/4/23

Y1 - 2021/4/23

N2 - We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].

AB - We find all analytic SU(2) Yang-Mills solutions on de Sitter space by reducing the field equations to Newton's equation for a particle in a particular 3d potential and solving the latter in a special case. In contrast, Maxwell's equations on de Sitter space can be solved in generality, by separating them in hysperspherical coordinates. Employing a well-known conformal map between (half of) de Sitter space and (the future half of) Minkowski space, the Maxwell solutions are mapped to a complete basis of rational electromagnetic knot configurations. We discuss some of their properties and illustrate the construction method with two nontrivial examples given by rational functions of increasing complexity. The material is partly based on [1, 2].

UR - http://www.scopus.com/inward/record.url?scp=85105687231&partnerID=8YFLogxK

U2 - 10.22323/1.394.0011

DO - 10.22323/1.394.0011

M3 - Contribution to book/anthology

AN - SCOPUS:85105687231

T3 - Proceedings of Science

BT - Proceedings of RDP online workshop "Recent Advances in Mathematical Physics"

T2 - 2020 RDP Online Workshop "Recent Advances in Mathematical Physics", Regio 2020

Y2 - 5 December 2020 through 6 December 2020

ER -

Von denselben Autoren