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 AdS3 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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ArXiv ePrint: 1905.00015
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Chen, H., Kaplan, J. & Sharma, U. AdS3 reconstruction with general gravitational dressings. J. High Energ. Phys. 2019, 141 (2019). https://doi.org/10.1007/JHEP07(2019)141
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DOI: https://doi.org/10.1007/JHEP07(2019)141