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

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${}_2$.

arXiv commentv4: minor additions and typos corrected

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• Supergroup Structure of Jackiw-Teitelboim Supergravity
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• Scalar Blocks as Gravitational Wilson Networks
• Gravitational Wilson Lines in 3D de Sitter
• More on Wilson toroidal networks and torus blocks
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• Wilson line networks in $p$-adic AdS/CFT
• Multipartite edge modes and tensor networks
• Interfaces and the extended Hilbert space of Chern-Simons theory
• Quantum Correction to Chaos in Schwarzian Theory
• Branes in JT (super)gravity from group theory
• AdS${}_3$ Reconstruction with General Gravitational Dressings
• Information recovery from pure state geometries in 3D