Particle-like solutions to higher order curvature Einstein--Yang-Mills systems in d dimensions
Y. Brihaye, A. Chakrabarti, D. H. Tchrakian
Abstract
We consider the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the superposition of the first two members of the SO()(d) Yang--Mills hierarchy, in d dimensions. Such systems can occur in the low energy effective action of string theory. Particle-like solutions %for the systems with only an Einstein term, and with only a GB term, in dimensions d=6,8 are constructed respectively. Our results reveal qualitatively new properties featuring double-valued solutions with critical behaviour. In this preliminary study, we have restricted ourselves to one-node solutions.
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