### Abstract

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.

Original language | English |
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Pages (from-to) | 1241-1265 |

Number of pages | 25 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 7 |

Publication status | Published - 2004 Jul 1 |

Externally published | Yes |

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### Keywords

- AdS-CFT and dS-CFT Correspondence
- Black Holes
- Supergravity Models

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*8*(7), 1241-1265.