AdS3 reconstruction with general gravitational dressings

Abstract

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.

Keywords

• 1/N Expansion
• AdS-CFT Correspondence
• Black Holes
• Conformal Field Theory