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