Do supersymmetric anti-de Sitter black rings exist?
Do supersymmetric anti-de Sitter black rings exist?
复制标题
超对称反德西特黑环是否存在？
DOI：
10.1088/1126-6708/2007/02/026
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发表时间：
2006
影响因子：
5.4
通讯作者：
H. Reall
中科院分区：
文献类型：
--
作者：
Hari K. Kunduri;James Lucietti;H. Reall
我们确定了允许两个旋转对称的五维最小规范超引力的超对称、渐近反de Sitter黑洞解的最一般的近视界几何。近视界几何是Chong等人的超对称拓扑球黑洞解的几何。这证明了在最小超引力条件下不存在具有两个旋转对称性的正则超对称反de Sitter黑环。然而，我们确实找到了与由圆锥奇点保持平衡的超对称黑环的近视界几何相对应的解，这表明非超对称反De Sitter黑环可能存在，但不能在超对称极限中“平衡”。
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.