Yang-Mills solutions on de Sitter space of any dimension

authored by

Olaf Lechtenfeld, Gönül Ünal

Abstract

For gauge groups SO(n+1), SU(m+1), and Sp(ℓ+1), we construct equivariant Yang-Mills solutions on de Sitter space in n+1, 2(m+1), and 4(ℓ+1) spacetime dimensions. The latter is conformally mapped to a finite cylinder over a coset space realizing an appropriate unit sphere. The equivariance condition reduces the Yang-Mills system to an analog Newtonian particle in one or two dimensions subject to a time-dependent friction and a particular potential. We analyze some properties of the solutions such as their action and energy and display all analytic ones. Beyond dS4, all such configurations have finite energy but infinite action.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Physical Review D

Volume

98

ISSN

2470-0010

Publication date

15.10.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.48550/arXiv.1807.03914 (Access: Offen)
https://doi.org/10.1103/PhysRevD.98.085008 (Access: Offen)
https://doi.org/10.15488/4918 (Access: Offen)