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Lectures on black holes and the AdS\_3 / CFT\_2 correspondence

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(Sep 20, 2006)

Abstract

We present a detailed discussion of AdS\_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS\_3, in the context of holographic renormalization.

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