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arxiv: 1510.06685 · v2 · pith:JUCKJBUEnew · submitted 2015-10-22 · ✦ hep-th

Monodromic vs geodesic computation of Virasoro classical conformal blocks

classification ✦ hep-th
keywords blocksclassicalcomputationconformalgeodesicsuperlightapproachbulk
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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.

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    The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS...