Kraus, Per and Ooguri, Hirosi and Shenker, Stephen (2003) Inside the horizon with AdS/CFT. Physical Review D, 67 (12). Art. No. 124022. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:KRAprd03
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Using the eternal BTZ black hole as a concrete example, we show how spacelike singularities and horizons can be described in terms of AdS/CFT amplitudes. Our approach is based on analytically continuing amplitudes defined in a Euclidean signature. This procedure yields finite Lorentzian amplitudes. The naive divergences associated with the Milne type singularity of BTZ black holes are regulated by an iepsilon prescription inherent in the analytic continuation and a cancellation between future and past singularities. The boundary description corresponds to a tensor product of two CFTs in an entangled state, as in previous work. We give two bulk descriptions corresponding to two different analytic continuations. In the first, only regions outside the horizon appear explicitly, and so amplitudes are manifestly finite. In the second, regions behind the horizon and on both sides of the singularity appear, thus yielding finite amplitudes for virtual particles propagating through the black hole singularity. This equivalence between descriptions only outside and both inside and outside the horizon is reminiscent of the ideas of black hole complementarity.
|Additional Information:||©2003 The American Physical Society. Received 23 February 2003; published 20 June 2003. P.K. was supported in part by NSF Grant No. PHY-0099590, H.O. was supported in part by Grant No. DEFG03-92ER40701, and S.S. was supported in part by NSF Grant No. PHY-9870115. We thank Micha Berkooz, Ben Craps, Robbert Dijkgraaf, David Kutasov, Juan Maldacena, Don Marolf, Emil Martinec, Will McElgin, Greg Moore, Rob Myers, and Lenny Susskind for discussions, and the Aspen Center for Physics for hospitality during the initial stages of this work.|
|Subject Keywords:||complementarity; black holes; conformal field theory; string theory|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||15 May 2006|
|Last Modified:||26 Dec 2012 08:52|
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