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Geodesic Witten diagrams with an external spinning field

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arxiv 1609.04563 v2 pith:ODEKYPGF submitted 2016-09-15 hep-th

classification hep-th
keywords conformalexternalfieldgeodesicwittenpartialamplitudeconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
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We explore AdS/CFT correspondence between geodesic Witten diagrams and conformal blocks (conformal partial waves) with an external symmetric traceless tensor field. We derive an expression for the conformal partial wave with an external spin-1 field and show that this expression is equivalent to the amplitude of the geodesic Witten diagram. We also show the equivalence by using conformal Casimir equation in embedding formalism. Furthermore, we extend the construction of the amplitude of the geodesic Witten diagram to an external arbitrary symmetric traceless tensor field. We show our construction agrees with the known result of the conformal partial waves.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 29 citations worldwide. Full citation record

  1. On the $1/c$ expansion in $2d$ CFTs with degenerate operators

    hep-th 2024-12 accept novelty 8.0 of 10

    The all-order 1/c expansion of Virasoro blocks for degenerate operators is Borel resummable except across Stokes lines, and the resurgent analysis reconstructs the full correlator and resolves forbidden singularities.

  2. 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...

  3. Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams

    hep-th 2024-12 conditional novelty 6.0 of 10

    Wilson line networks in AdS2 are reconstructed from boundary conformal blocks, and 3-point scalar Witten diagrams decompose into sums of such networks.

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