Gravitating non-Abelian solitons and hairy black holes in higher dimensions

TL;DR

This paper reviews classical gravitating Yang-Mills solutions in higher-dimensional spacetimes, including particlelike, vortex, and supersymmetric black hole solutions, highlighting their generalizations and theoretical significance.

Contribution

It provides a comprehensive overview of gravitating Yang-Mills solutions in dimensions greater than four, including new classes of solutions and their extensions in string theory contexts.

Findings

SO(4) symmetric particlelike solutions in D=5

SO(3) vortex solutions with or without horizons

Supersymmetric gravitating Yang-Mills solutions in string theory

Abstract

This is a short review of classical solutions with gravitating Yang-Mills fields in $D>4$ spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D=5 are considered, and their various generalizations with or without an event horizon, for other symmetries, in more general theories, and also in $D>5$ are described. In addition, supersymmetric solutions with gravitating Yang-Mills fields in string theory are discussed.