Particle-like solutions to higher-order curvature Einstein–Yang–Mills systems in <i>d</i> dimensions

Abstract

We consider the superposition of the first two members of the gravitational\nhierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the\nsuperposition of the first two members of the $SO_{(\\pm)}(d)$ Yang--Mills\nhierarchy, in $d$ dimensions. Such systems can occur in the low energy\neffective action of string theory. Particle-like solutions %for the systems\nwith only an Einstein term, and with only a GB term, in dimensions $d=6,8$ are\nconstructed respectively. Our results reveal qualitatively new properties\nfeaturing double-valued solutions with critical behaviour. In this preliminary\nstudy, we have restricted ourselves to one-node solutions.\n