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Limiting solutions of sequences of globally regular and black hole solutions in SU(N)-EYMD theories
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abstract
Static spherically symmetric solutions in SU(N)-EYM and EYMD theories are classified by the node numbers of their non-trivial gauge field functions. With increasing node numbers, the solutions form sequences, tending to limiting solutions. The limiting solutions are based on subalgebras of $su(N)$, consisting of a neutral non-abelian part and a charged abelian part, belonging to the Cartan subalgebra
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