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Worldline approach to semi-classical conformal blocks

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arxiv 1501.02260 v3 pith:5JX6Y6TQ submitted 2015-01-09 hep-th

Eliot Hijano , Per Kraus , River Snively This is my paper · ORCID
classification hep-th
keywords agreementblocksconformallightsemi-classicalsimplealongapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We extend recent results on semi-classical conformal blocks in 2d CFT and their relation to 3D gravity via the AdS/CFT correspondence. We consider four-point functions with two heavy and two light external operators, along with the exchange of a light operator. By explicit computation, we establish precise agreement between these CFT objects and a simple picture of particle worldlines joined by cubic vertices propagating in asymptotically AdS$_3$ geometries (conical defects or BTZ black holes). We provide a simple argument that explains this agreement.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 127 citations worldwide. Full citation record

  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.

  3. Towards $W_3$ classical blocks with semi-degenerate operators

    hep-th 2025-12 conditional novelty 5.0 of 10

    Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.

  4. Braid Group Representations and Defect Operators in AdS/CFT Correspondence

    hep-th 2025-05 reject novelty 2.0 of 10

    Bulk Wilson loop braidings are claimed to correspond to boundary defect operators via AdS/CFT, but the mapping is a restatement of the standard dictionary and lacks derivation.

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