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Gravitational Wilson lines in AdS$_{\bf 3}$

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arxiv 1912.02750 v1 pith:EL4FTJ4U submitted 2019-12-05 hep-th

Eric D'Hoker , Per Kraus This is my paper · ORCID
classification hep-th
keywords wilsonconformalgravitationallinesalgebrabehavesbi-localboundary
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abstract

The construction of gravitational Wilson lines in the Chern-Simons formulation of $AdS_3$ gravity in terms of composite operators in the dual boundary conformal field theory is reviewed. New evidence is presented that the Wilson line, dimensionally regularized and suitably renormalized, behaves as a bi-local operator of two conformal primaries whose dimension is predicted by SL(2,R) current algebra.

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Cited by 2 Pith papers

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

  1. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

  2. 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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