Publications at the Riemann Center
Yang-Mills solutions on de Sitter space of any dimension
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Physical Review D
- Volume
- 98
- ISSN
- 2470-0010
- Publication date
- 15.10.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1807.03914 (Access:
Open
)
https://doi.org/10.1103/PhysRevD.98.085008 (Access: Open )
https://doi.org/10.15488/4918 (Access: Open )
