Dyonic black holes in su (∞) anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges

We here derive field equations for static, spherically symmetric, dyonic su(infinity) Einstein-Yang-Mills theory with a negative cosmological constant A. We are able to find new non-trivial black hole solutions to this system in two regimes: where the gauge fields are small; and where vertical bar Lambda vertical bar -> infinity. We also show that some may be uniquely characterised by a countably infinite set of asymptotically-defined charges. This may have implications for Bizon's modified 'No Hair' conjecture.