Monodromic vs geodesic computation of Virasoro classical conformal blocks

We compute 5-point classical conformal blocks with two heavy, two light, and one superlight operator using the monodromy approach up to third order in the superlight expansion. By virtue of the AdS/CFT correspondence we show the equivalence of the resulting expressions to those obtained in the bulk computation for the corresponding geodesic configuration. (C) 2016 The Authors. Published by Elsevier B.V.