### Abstract

We explore physics behind the horizon in eternal AdS Schwarzschild black holes. In dimension d > 3, where the curvature grows large near the singularity, we find distinct but subtle signals of this singularity in the boundary CFT correlators. Building on previous work, we study correlation functions of operators on the two disjoint asymptotic boundaries of the spacetime by investigating the spacelike geodesies that join the boundaries. These dominate the correlators for large mass bulk fields. We show that the Penrose diagram for d > 3 is not square. As a result, the real geodesic connecting the two boundary points becomes almost null and bounces off the singularity at a finite boundary time t_{c} ≠ 0. If this geodesic were to dominate the correlator there would be a "light cone" singularity at t_{c}. However, general properties of the boundary theory rule this out. In fact, we argue that the correlator is actually dominated by a complexified geodesic, whose properties yield the large mass quasinormal mode frequencies previously found for this black hole. We find a branch cut in the correlator at small time (in the limit of large mass), arising from coincidence of three geodesics. The t_{c} singularity, a signal of the black hole singularity, occurs on a secondary sheet of the analytically continued correlator. Its properties are computationally accessible. The t_{c} singularity persists to all orders in the 1/m expansion, for finite α′, and to all orders in g_{s}. Certain leading nonperturbative effects can also be studied. The behavior of these boundary theory quantities near t_{c} gives, in principle, significant information about stringy and quantum behavior in the vicinity of the black hole singularity.

Original language | English (US) |
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Pages (from-to) | 365-409 |

Number of pages | 45 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 2 |

DOIs | |

State | Published - Feb 1 2004 |

### Keywords

- AdS-CFT and dS-CFT Correspondence
- Black Holes
- Black Holes in String Theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*,

*8*(2), 365-409. https://doi.org/10.1088/1126-6708/2004/02/014