Monodromic vs geodesic computation of Virasoro classical conformal blocks

Abstract

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.

20 pages, v2: more comments, refs added, NPB version

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