## 抄録

We consider N = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m ^{2} < -(D-1)^{2}/4 - 1 while preserving the asymptotic anti-de Sitter (AdS) symmetries. Each scalar admits a oneparameter family of AdS-invariant boundary conditions for which the metric falls off slower than usual. The generators of the asymptotic symmetries are finite, but generically acquire a contribution from the scalars. For a large class of boundary conditions we numerically find a one-parameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the Schwarschild-AdS black hole, which is a solution for all boundary conditions. We show the Schwarschild-AdS black hole has larger entropy than a hairy black hole of the same mass. The hairy black holes lift to inhomogeneous black brane solutions in ten or eleven dimensions. We briefly discuss how generalized AdS-invariant boundary conditions can be incorporated in the AdS/CFT correspondence.

本文言語 | English |
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ページ（範囲） | 1241-1265 |

ページ数 | 25 |

ジャーナル | Journal of High Energy Physics |

巻 | 8 |

号 | 7 |

出版ステータス | Published - 2004 7月 1 |

外部発表 | はい |

## ASJC Scopus subject areas

- 核物理学および高エネルギー物理学