Dyonic black holes in $\mathfrak{su}(\infty)$ 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 Einstein–Yang–Mills theory with a negative cosmological constant . 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 . 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.

Note:

38 pages, 4 figures

large diffeomorphisms
black holes
dyonic
anti-de Sitter
Einstein–Yang–Mills
charge
su(infty)
cosmological constant: negative
black hole: dyon
symmetry: rotation

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

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Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges