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Supersymmetric black rings and three-charge supertubes
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We present supergravity solutions for 1/8-supersymmetric black supertubes with three charges and three dipoles. Their reduction to five dimensions yields supersymmetric black rings with regular horizons and two independent angular momenta. The general solution contains seven independent parameters and provides the first example of nonuniqueness of supersymmetric black holes. In ten dimensions, the solutions can be realized as D1-D5-P black supertubes. We also present a worldvolume construction of a supertube that exhibits three dipoles explicitly. This description allows an arbitrary cross section but captures only one of the angular momenta.
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ELVANG, Henriette, et al. Supersymmetric black rings and three-charge supertubes. Physical Review D. 2004. Vol. 71, num. 2, pags. 024033-1-024033-30. ISSN 0556-2821. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/12380