Balasubramanian, Vijay and Kraus, Per and Shigemori, Masake (2005) Massless black holes and black rings as effective geometries of the D1–D5 system. Classical and Quantum Gravity, 22 (22). pp. 4803-4837. ISSN 0264-9381 http://resolver.caltech.edu/CaltechAUTHORS:BALcqg05
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We compute correlation functions in the AdS3/CFT2 correspondence to study the emergence of effective spacetime geometries describing complex underlying microstates. The basic argument is that almost all microstates of fixed charges lie close to certain 'typical' configurations. These give a universal response to generic probes, which is captured by an emergent geometry. The details of the microstates can only be observed by atypical probes. We compute two-point functions in typical ground states of the Ramond sector of the D1–D5 CFT, and compare with bulk two-point functions computed in asymptotically AdS3 geometries. For large central charge (which leads to a good semiclassical limit), and sufficiently small time separation, a typical Ramond ground state of vanishing R-charge has the M = 0 BTZ black hole as its effective description. At large time separation this effective description breaks down. The CFT correlators we compute take over, and give a response whose details depend on the microstate. We also discuss typical states with nonzero R-charge, and argue that the effective geometry should be a singular black ring. Our results support the argument that a black hole geometry should be understood as an effective coarse-grained description that accurately describes the results of certain typical measurements, but breaks down in general.
|Additional Information:||© 2005 IOP Publishing Ltd Print publication: Issue 22 (21 November 2005); Received 13 September 2005; Published 27 October 2005 We would like to thank Jan de Boer, Hiroshi Fujisaki, Norihiro Iizuka, Vishnu Jejjala, Oleg Lunin, Joan Simon, Sanefumi Moriyama, and Hirosi Ooguri for valuable discussions. We would also like to thank the organizers of the workshop on Quantum Theory of Black Holes at the Ohio State University, where this work was initiated, the Workshop on Gravitational Aspects of String Theory at the Fields Institute, and Strings 2005, for stimulating environments. MS would like to thank Norihiro Iizuka for collaboration in  and helpful discussions, and the Theoretical High Energy Physics group at the University of Pennsylvania for hospitality. PK was supported in part by NSF grant no PHY-0099590. MS was supported in part by Department of Energy grant no DE-FG03-92ER40701 and a Sherman Fairchild Foundation postdoctoral fellowship. VB was supported in part by the DOE under grant no DE-FG02-95ER40893, by the NSF under grant no PHY-0331728 and by an NSF Focused Research Grant DMS0139799.|
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|Deposited On:||09 Jan 2006|
|Last Modified:||26 Dec 2012 08:43|
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