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Monodromic vs geodesic computation of Virasoro classical conformal blocks

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arxiv 1510.06685 v2 pith:JUCKJBUE submitted 2015-10-22 hep-th

classification hep-th
keywords blocksclassicalcomputationconformalgeodesicsuperlightapproachbulk
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Propagator identities, holographic conformal blocks, and higher-point AdS diagrams

    hep-th 2019-06 unverdicted novelty 8.0 of 10

    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...

  2. Monodromy and geometry of heavy-light Virasoro blocks

    hep-th 2026-07 accept novelty 6.5 of 10

    Monodromy-matrix eigenvectors encode bulk geodesic endpoints, giving heavy-background-independent network equations and the full non-vacuum five-point HHLLL Virasoro block.

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