Holography and the geometry of certain convex cocompact hyperbolic 3-manifolds

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Krasnov (arXiv: hep-th/0005106) identified the renormalized volume of a Schottky 3-manifold with the action of the Liouville theory on the conformal infiinity. We try to compute the renormalized volume in terms of more transparent geometric quantities.
A mistake is corrected and consequently the statement of the results is different

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