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Wilson Lines and Ishibashi States in AdS$_3$/CFT$_2$

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arxiv 1805.05398 v4 pith:G2S6RDUQ submitted 2018-05-14 hep-th

Alejandra Castro , Nabil Iqbal , Eva Llabrés This is my paper · ORCID
classification hep-th
keywords ishibashilinestateswilsonaccountsboundarybulkclarify
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abstract

We provide a refined interpretation of a gravitational Wilson line in AdS$_3$ in terms of Ishibashi states in the dual CFT$_2$. Our strategy is to give a method to evaluate the Wilson line that accounts for all the information contained in the representation, and clarify the role of boundary conditions at the endpoints of the line operator. This gives a novel way to explore and reconstruct the local bulk dynamics which we discuss. We also compare our findings with other interpretations of Ishibashi states in AdS$_3$/CFT$_2$.

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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. 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.

  2. Wilson Towers as Local Bulk Fields

    hep-th 2026-07 conditional novelty 5.0 of 10

    A multi-winding Wilson loop in thermal AdS3 is re-expressed as a sum over single-winding Wilson loops, one per multi-trace primary, so a free bulk field becomes a tower of Wilson lines.

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