ar X iv : 0 71 0 . 43 34 v 1 [ he p - th ] 2 3 O ct 2 00 7 Local bulk operators in AdS / CFT and the fate of the BTZ singularity
نویسندگان
چکیده
This paper has two parts. First we review the description of local bulk operators in Lorentzian AdS in terms of non-local operators in the boundary CFT. We discuss how bulk locality arises in pure AdS backgrounds and how it is modified at finite N . Next we present some new results on BTZ black holes: local operators can be defined inside the horizon of a finite N BTZ black hole, in a way that suggests the BTZ geometry describes an average over black hole microstates, but with finite N effects resolving the singularity.
منابع مشابه
ar X iv : h ep - t h / 99 03 20 9 v 1 2 4 M ar 1 99 9 SMI - Th – 99 / 04 AdS 3 / CFT 2 correspondence at finite temperature
The AdS/CFT correspondence is established for the AdS 3 space compactified on a solid torus with the CFT field on the boundary. Correlation functions that correspond to the bulk theory at finite temperature are obtained in the regularization a'la Gubser, Klebanov, and Polyakov. The BTZ black hole solutions in AdS 3 are T-dual to the solution in the AdS 3 space without singularity.
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