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arXiv · 1905.00015

AdS$_3$ Reconstruction with General Gravitational Dressings

Hongbin Chen·Jared Kaplan·Utkarsh Sharma
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Abstract

The gauge redundancy of quantum gravity makes the definition of local operators ambiguous, as they depend on the choice of gauge or on a `gravitational dressing' analogous to a choice of Wilson line attachments. Recent work identified exact AdS$_3$ proto-fields by fixing to a Fefferman-Graham gauge. Here we extend that work and define proto-fields with general gravitational dressing. We first study bulk fields charged under a $U(1)$ Chern-Simons gauge theory as an illustrative warm-up, and then generalize the results to gravity. As an application, we compute a gravitational loop correction to the bulk-boundary correlator in the background of a black hole microstate, and then verify this calculation using a newly adapted recursion relation. Branch points at the Euclidean horizon are present in the $1/c$ corrections to semiclassical correlators.

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Hongbin Chen, Jared Kaplan, Utkarsh Sharma. 2019-04-30. AdS$_3$ Reconstruction with General Gravitational Dressings. https://doi.org/10.1007/jhep07(2019)141

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