Abstract
AbstractWe show that Merons in D-dimensional Einstein–Massive–Yang–Mills theory can be mapped to solutions of the Einstein–Skyrme model. The identification of the solutions relies on the fact that, when considering the Meron ansatz for the gauge connection $$A=\lambda U^{-1}dU$$
A
=
λ
U
-
1
d
U
, the massive Yang–Mills equations reduce to the Skyrme equations for the corresponding group element U. In the same way, the energy–momentum tensors of both theories can be identified and therefore lead to the same Einstein equations. Subsequently, we focus on the SU(2) case and show that introducing a mass for the Yang–Mills field restricts Merons to live on geometries given by the direct product of $$S^3$$
S
3
(or $$S^2$$
S
2
) and Lorentzian manifolds with constant Ricci scalar. We construct explicit examples for $$D=4$$
D
=
4
and $$D=5$$
D
=
5
. Finally, we comment on possible generalisations.
Funder
Fondo Nacional de Desarrollo Científico y Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献