AdS$_3$ Reconstruction with General Gravitational Dressings

Autor: Chen, Hongbin, Kaplan, Jared, Sharma, Utkarsh
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP07(2019)141
Popis: 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.
Comment: 42+20 pages, 5 figures
Databáze: arXiv