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arXiv · hep-th/0611351

Do supersymmetric anti-de Sitter black rings exist?

Hari K. Kunduri·James Lucietti·Harvey S. Reall
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Abstract

We determine the most general near-horizon geometry of a supersymmetric, asymptotically anti-de Sitter, black hole solution of five-dimensional minimal gauged supergravity that admits two rotational symmetries. The near-horizon geometry is that of the supersymmetric, topologically spherical, black hole solution of Chong et al. This proves that regular supersymmetric anti-de Sitter black rings with two rotational symmetries do not exist in minimal supergravity. However, we do find a solution corresponding to the near-horizon geometry of a supersymmetric black ring held in equilibrium by a conical singularity, which suggests that nonsupersymmetric anti-de Sitter black rings may exist but cannot be "balanced" in the supersymmetric limit.

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Hari K. Kunduri, James Lucietti, Harvey S. Reall. 2007-02-09. Do supersymmetric anti-de Sitter black rings exist?. https://doi.org/10.1088/1126-6708%2F2007%2F02%2F026

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